{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":58758,"title":"Hemisphere Volume on Top of a Cylinder","description":"This MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 46.5px; transform-origin: 332px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 31.5px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function volume = computeHemisphereVolume(radius, height)\r\n\r\n    volume = 0;\r\nend","test_suite":"%%\r\nradius = 3;\r\nheight = 8;\r\nexpectedOutput = 282.743338823081;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 2.5;\r\nheight = 5;\r\nexpectedOutput = 130.899693899575;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 10;\r\nheight = 15;\r\nexpectedOutput = 6806.78408277789;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 0;\r\nheight = 12;\r\nexpectedOutput = 0;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 7.2;\r\nheight = 3.5;\r\nexpectedOutput = 1351.73935424539;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n","published":true,"deleted":false,"likes_count":13,"comments_count":4,"created_by":3429354,"edited_by":26769,"edited_at":"2023-12-02T00:24:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":65,"test_suite_updated_at":"2023-12-02T00:24:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-07-18T21:20:09.000Z","updated_at":"2026-04-05T19:56:07.000Z","published_at":"2023-07-18T21:20:09.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52080,"title":"The Piggy Bank Problem","description":"Given a cylindrical piggy bank with radius g and height y, return the bank's volume. [ g is first input argument.]\r\nBonus thought: Why is the answer funny?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 49.8889px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.9444px; transform-origin: 406.5px 24.9444px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a cylindrical piggy bank with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eradius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eheight \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, return the bank's \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003evolume\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. [ \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is first input argument.]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBonus thought: Why is the answer funny?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function ans = bank(g,y)\r\n  ans = g;\r\nend","test_suite":"%%\r\ny = 1;\r\ng = 1;\r\ny_correct = pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 1;\r\ng = 2;\r\ny_correct = 4*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 3;\r\ng = 1;\r\ny_correct = 3*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 2;\r\ng = 2;\r\ny_correct = 8*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n","published":true,"deleted":false,"likes_count":13,"comments_count":7,"created_by":427930,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":641,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-18T14:06:08.000Z","updated_at":"2026-02-10T11:13:12.000Z","published_at":"2021-06-18T14:06:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a cylindrical piggy bank with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eradius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eheight \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the bank's \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003evolume\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. [ \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is first input argument.]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBonus thought: Why is the answer funny?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45894,"title":"Volume of Cylinder","description":"Find the volume of a cylinder\r\n","description_html":"\u003cp\u003eFind the volume of a cylinder\u003c/p\u003e","function_template":"function y = volumeofcylinder(r,h)\r\n  y = ;\r\nend","test_suite":"%%\r\nr = 2;\r\nh = 2;\r\ny_correct = pi*r^2*h;\r\nassert(isequal(volumeofcylinder(r,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":441903,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":181,"test_suite_updated_at":"2020-06-13T11:26:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-12T19:48:13.000Z","updated_at":"2026-02-12T19:02:37.000Z","published_at":"2020-06-12T19:50:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the volume of a cylinder\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2681,"title":"Box!","description":"Given a box, find the volume of the cube. With each side = a.","description_html":"\u003cp\u003eGiven a box, find the volume of the cube. With each side = a.\u003c/p\u003e","function_template":"function y = Volume_Of_A_Box(x)\r\n  y = a^3;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(Volume_Of_A_Box(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":29714,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":299,"test_suite_updated_at":"2014-11-20T22:49:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-11-20T22:47:50.000Z","updated_at":"2026-02-11T18:35:38.000Z","published_at":"2014-11-20T22:49:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a box, find the volume of the cube. With each side = a.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2929,"title":"Volume of a box","description":"Given a box with a length a, width b, and height c. Solve the volume of the box.","description_html":"\u003cp\u003eGiven a box with a length a, width b, and height c. Solve the volume of the box.\u003c/p\u003e","function_template":"function y = volume(a,b,c)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 1;\r\nb = 1;\r\nc = 1;\r\ny_correct = 1;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n\r\n%%\r\na = 2;\r\nb = 2;\r\nc = 2;\r\ny_correct = 8;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n\r\n%%\r\na = 3;\r\nb = 3;\r\nc = 3;\r\ny_correct = 27;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":33780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":724,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-03T02:21:35.000Z","updated_at":"2026-02-24T02:53:49.000Z","published_at":"2015-02-03T02:21:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a box with a length a, width b, and height c. Solve the volume of the box.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45897,"title":" Volume of Equilateral  Triangle Prism","description":"Find volume of equilateral triangle prism\r\nx = side of triangle\r\nl = length of prism","description_html":"\u003cp\u003eFind volume of equilateral triangle prism\r\nx = side of triangle\r\nl = length of prism\u003c/p\u003e","function_template":"function y = volumeofequilateraltriangleprism(x,l)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\nl = 5;\r\ny_correct = ((x^2*sqrt(3))/4)*l;\r\nassert(isequal(volumeofequilateraltriangleprism(x,l),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":441903,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":86,"test_suite_updated_at":"2020-06-12T20:14:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-12T20:08:02.000Z","updated_at":"2026-02-12T12:18:43.000Z","published_at":"2020-06-12T20:08:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind volume of equilateral triangle prism x = side of triangle l = length of prism\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45675,"title":"Calculate the volume of a cone","description":"Calculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\r\n\r\n* Remember the equation for a cone is V = pi * r *r * h /3 \r\n\r\n\u003c \r\n\u003e\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375px 8px; transform-origin: 375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = cone_volume(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1,2];\r\ny_correct = [2.1];\r\nassert(abs(cone_volume(x) - y_correct) \u003c=.1)\r\n\r\n\r\n%%\r\nx = [1,2; 3,4; 5,6; 7,8 ];\r\ny_correct = [2.1; 37.7; 157.1; 410.5;];\r\nassert( all(abs(cone_volume(x) - y_correct) \u003c=.1) )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":464375,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-29T17:25:55.000Z","updated_at":"2026-02-16T12:12:24.000Z","published_at":"2020-05-29T17:27:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49815,"title":"Volume of Cylindrical Shell","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eConsider a cylinder with a non-zero thickness with an inner radius of r1 and an outer radius of r2. If the height of the cylinder is h, determine the volume of this cylindrical shell.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v1 = cy(r1,r2,h)\r\n  v1 = r1*r2*sqrt(h);\r\nend","test_suite":"%%\r\nr1=1.0;\r\nr2=1.15;\r\nh=1.2;\r\nv_corr=1.2158;\r\nassert(isequal(cy(r1,r2,h),v_corr))\r\n%%\r\nr1=pi;\r\nr2=3/2*pi;\r\nh=3;\r\nv_corr=116.2735;\r\nassert(isequal(cy(r1,r2,h),v_corr))\r\n%%\r\nr1=0.37;\r\nr2=3.64;\r\nh=7;\r\nv_corr=288.3633;\r\nassert(isequal(cy(r1,r2,h),v_corr))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":69,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-15T01:20:01.000Z","updated_at":"2026-02-11T12:14:13.000Z","published_at":"2021-01-15T01:20:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider a cylinder with a non-zero thickness with an inner radius of r1 and an outer radius of r2. If the height of the cylinder is h, determine the volume of this cylindrical shell.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2999,"title":"Billiards","description":"Considering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381px 8px; transform-origin: 381px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsidering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Volume_Rack(x)\r\nend","test_suite":"\r\n%%\r\nx = 2.438;\r\ny_correct = 910.502;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)\r\n\r\n%%\r\nx = 2.25;\r\ny_correct = 715.694;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)\r\n\r\n%%\r\nx = 2;\r\ny_correct = 502.659;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":34016,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2021-11-02T04:54:44.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2015-02-11T01:06:55.000Z","updated_at":"2026-02-17T09:08:22.000Z","published_at":"2015-02-11T01:30:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsidering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":42847,"title":"Isothermal Expansion","description":"Given the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\r\n\r\nHint: \u003chttps://en.wikipedia.org/wiki/Boyle's_law Boyle-Mariotte\u003e","description_html":"\u003cp\u003eGiven the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\u003c/p\u003e\u003cp\u003eHint: \u003ca href = \"https://en.wikipedia.org/wiki/Boyle's_law\"\u003eBoyle-Mariotte\u003c/a\u003e\u003c/p\u003e","function_template":"function V2 = Boyle_Mariotte(P1,V1,P2)\r\n  V2 = P1+V1-P2;\r\nend","test_suite":"%%\r\nassert(isequal(Boyle_Mariotte(66,96,99),64))\r\n%%\r\nassert(isequal(Boyle_Mariotte(5,80,125),3.2))\r\n%%\r\nassert(isequal(Boyle_Mariotte(4,39,104),1.5))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":87,"test_suite_updated_at":"2016-05-05T13:55:28.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-05-05T13:48:27.000Z","updated_at":"2026-02-17T14:17:57.000Z","published_at":"2016-05-05T13:55:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Boyle's_law\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eBoyle-Mariotte\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":42737,"title":"Spherical Volume","description":"Calculate the volume of a sphere.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 106px 8px; transform-origin: 106px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the volume of a sphere.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Volume =VolumeOfSphere(radius)\r\n%\r\nend","test_suite":"tolerance = 1e-4;\r\n\r\n%%\r\nradius= 1;\r\nVolume_correct =  4.1888;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);\r\n\r\n%%\r\nradius= 2;\r\nVolume_correct =  33.5103;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);\r\n\r\n%%\r\nradius= 3;\r\nVolume_correct =  113.0973;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);","published":true,"deleted":false,"likes_count":7,"comments_count":4,"created_by":62653,"edited_by":223089,"edited_at":"2022-10-18T08:37:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":678,"test_suite_updated_at":"2020-10-08T13:11:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-02-19T00:29:06.000Z","updated_at":"2026-03-24T19:59:21.000Z","published_at":"2016-02-19T00:30:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a sphere.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44506,"title":"Volume of Spherical Shell","description":"In three-dimensional space, a spherical shell can be constructed from two concentric spheres.  Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.","description_html":"\u003cp\u003eIn three-dimensional space, a spherical shell can be constructed from two concentric spheres.  Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.\u003c/p\u003e","function_template":"function vol = Shell(r1,r2)\r\n  vol = r1*r2;\r\nend","test_suite":"%%\r\nr1=3.2;\r\nr2=3.8;\r\ny_correct=92.58902;\r\nassert(abs(Shell(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1=1;\r\nr2=2;\r\ny_correct=29.32153;\r\nassert(abs(Shell(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":80,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:30:33.000Z","updated_at":"2026-03-10T15:09:47.000Z","published_at":"2018-01-24T18:30:33.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn three-dimensional space, a spherical shell can be constructed from two concentric spheres. Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44060,"title":"Volume Pillar","description":"Calculate the volume of a pillar with radius l and heigth ar.","description_html":"\u003cp\u003eCalculate the volume of a pillar with radius l and heigth ar.\u003c/p\u003e","function_template":"function y = Pillar_Size(l,ar)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1;\r\nar = 2;\r\ny_correct = pi*2;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))\r\n\r\n%%\r\nl = 12;\r\nar = 25;\r\ny_correct = pi*3600;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))\r\n\r\n%%\r\nl = 6;\r\nar = 2;\r\ny_correct = pi*72;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))","published":true,"deleted":false,"likes_count":15,"comments_count":1,"created_by":99516,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2100,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-02-06T15:36:59.000Z","updated_at":"2026-04-07T02:03:26.000Z","published_at":"2017-02-06T15:36:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a pillar with radius l and heigth ar.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43032,"title":"Geometrical meaning of determinant","description":"Given two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\r\n\r\nFor example:\r\n\r\n  X=[0,1]'; Y=[1,0]'; \r\n  V = 1;\r\n  \r\n  X=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\r\n  V = 1;","description_html":"\u003cp\u003eGiven two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eX=[0,1]'; Y=[1,0]'; \r\nV = 1;\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\r\nV = 1;\r\n\u003c/pre\u003e","function_template":"function V = parallelogram_volume(X,Y,varargin)\r\n  V=1;\r\nend","test_suite":"%%\r\nX=[0,1]'; Y=[1,0]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[0,1]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[1,0]'; \r\nV = 0;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[9,0]'; \r\nV = 0;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y,Z),V))\r\n%%\r\nX=[1,0,8]'; Y=[2,1,0]'; Z=[0,4,1]'; \r\nV = 65;\r\nassert(isequal(parallelogram_volume(X,Y,Z),V))\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":85738,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T07:11:10.000Z","updated_at":"2026-04-02T13:16:01.000Z","published_at":"2016-10-05T07:11:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[X=[0,1]'; Y=[1,0]'; \\nV = 1;\\n\\nX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\\nV = 1;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":46746,"title":"Volume of a truncated cube","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 480.367px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 240.183px; transform-origin: 407px 240.183px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.85px 8px; transform-origin: 378.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe surface of a truncated cube consists of 6 octagons, and 8 equilateral triangles. Our truncated cube is parametrised by (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4333px; transform-origin: 391px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 284.708px 8px; transform-origin: 284.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e refers to the distance between the center of the volume and the center of the octagons, and\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 269.15px 8px; transform-origin: 269.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e refers to the distance between the center of the volume and the center of the 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\" data-image-state=\"image-loaded\" width=\"450\" height=\"225\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.4px; text-align: left; transform-origin: 384px 18.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h_2 = \\sqrt{3} h_1\" style=\"width: 69px; height: 22px;\" width=\"69\" height=\"22\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.017px 8px; transform-origin: 133.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e we get the special case of a cube, and for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h_2 = (2\\sqrt3)/3 h_1\" style=\"width: 79px; height: 37px;\" width=\"79\" height=\"37\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.575px 8px; transform-origin: 78.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e we get a cuboctahedron.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 82px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41px; text-align: left; transform-origin: 384px 41px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.7083px 8px; transform-origin: 33.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eYour task:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.117px 8px; transform-origin: 132.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Write a function which returns the volume \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.66667px 8px; transform-origin: 4.66667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 149.35px 8px; transform-origin: 149.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the truncated cube as function of the heights \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.375px 8px; transform-origin: 21.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e/\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.0667px 8px; transform-origin: 75.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e violates the constraints \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"(2\\sqrt3)/3 \u003c= h_2 / h_1 \u003c= \\sqrt3\" style=\"width: 102.5px; height: 40px;\" width=\"102.5\" height=\"40\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.775px 8px; transform-origin: 219.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e return the volume of the related special case (cube or cuboctahedron) instead.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = TruncatedCube(h1,h2)\r\n  V = h1^3;\r\nend","test_suite":"%%\r\nh1 = abs(randn); % cube\r\nh2 = sqrt(3)*h1 + abs(randn);\r\nassert(abs(TruncatedCube(h1,h2) - 8*h1^3) \u003c 1e-6);\r\n%%\r\nh1 = abs(randn); % cuboctahedron\r\nh2 = 2*sqrt(3)/3*h1 - abs(randn);\r\nassert(abs(TruncatedCube(h1,h2) - (20/3)*h1^3) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(4,3*sqrt(3)) - 476) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(5,4*sqrt(3)) - 964) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(6,5*sqrt(3)) - 1692) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(7,5*sqrt(3)) - 2456) \u003c 1e-6);\r\nassert(abs(TruncatedCube(7,6*sqrt(3)) - 2708) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(8,6*sqrt(3)) - 3808) \u003c 1e-6);\r\nassert(abs(TruncatedCube(8,7*sqrt(3)) - 4060) \u003c 1e-6);\r\n%%\r\nswitch randi(4)\r\n    case 1, assert(abs(TruncatedCube(9,7*sqrt(3)) - 5544) \u003c 1e-6);\r\n    case 2, assert(abs(TruncatedCube(10,8*sqrt(3)) - 7712) \u003c 1e-6);\r\n    case 3, assert(abs(TruncatedCube(11,8*sqrt(3)) - 9676) \u003c 1e-6);\r\n    case 4, assert(abs(TruncatedCube(12,9*sqrt(3)) - 12852) \u003c 1e-6);\r\nend\r\n%%\r\nstr = fileread('TruncatedCube.m'); % sorry, no regexp hacks :-)\r\nassert(isempty(regexp(str,'regexp')));","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":11486,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-13T11:26:15.000Z","updated_at":"2020-10-13T13:03:02.000Z","published_at":"2020-10-13T13:03:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe surface of a truncated cube consists of 6 octagons, and 8 equilateral triangles. Our truncated cube is parametrised by (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e), where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e refers to the distance between the center of the volume and the center of the octagons, and\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e refers to the distance between the center of the volume and the center of the triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"450\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h_2 = \\\\sqrt{3} h_1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_2 = \\\\sqrt{3} h_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e we get the special case of a cube, and for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h_2 = (2\\\\sqrt3)/3 h_1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_2 = \\\\frac{2\\\\sqrt3}{3} h_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e we get a cuboctahedron.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eYour task:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Write a function which returns the volume \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of the truncated cube as function of the heights \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. If the ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e/\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e violates the constraints \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(2\\\\sqrt3)/3 \u0026lt;= h_2 / h_1 \u0026lt;= \\\\sqrt3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{2\\\\sqrt3}{3} \\\\leq \\\\frac{h_2}{h_1} \\\\leq \\\\sqrt3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e return the volume of the related special case (cube or cuboctahedron) instead.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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Volume on Top of a Cylinder","description":"This MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 332px 46.5px; transform-origin: 332px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 31.5px; text-align: left; transform-origin: 309px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 309px 10.5px; text-align: left; transform-origin: 309px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function volume = computeHemisphereVolume(radius, height)\r\n\r\n    volume = 0;\r\nend","test_suite":"%%\r\nradius = 3;\r\nheight = 8;\r\nexpectedOutput = 282.743338823081;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 2.5;\r\nheight = 5;\r\nexpectedOutput = 130.899693899575;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 10;\r\nheight = 15;\r\nexpectedOutput = 6806.78408277789;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 0;\r\nheight = 12;\r\nexpectedOutput = 0;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n%%\r\nradius = 7.2;\r\nheight = 3.5;\r\nexpectedOutput = 1351.73935424539;\r\nvolume = computeHemisphereVolume(radius, height);\r\nassert(abs(expectedOutput - volume) \u003c 1e-4)\r\n","published":true,"deleted":false,"likes_count":13,"comments_count":4,"created_by":3429354,"edited_by":26769,"edited_at":"2023-12-02T00:24:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":65,"test_suite_updated_at":"2023-12-02T00:24:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-07-18T21:20:09.000Z","updated_at":"2026-04-05T19:56:07.000Z","published_at":"2023-07-18T21:20:09.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the radius of the cylinder and the height of the cylinder as input, and returns the total volume of the hemisphere and the cylinder combined.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52080,"title":"The Piggy Bank Problem","description":"Given a cylindrical piggy bank with radius g and height y, return the bank's volume. [ g is first input argument.]\r\nBonus thought: Why is the answer funny?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 49.8889px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.9444px; transform-origin: 406.5px 24.9444px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a cylindrical piggy bank with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eradius \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eheight \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ey\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, return the bank's \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003evolume\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. [ \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eg\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is first input argument.]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.4444px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.2222px; text-align: left; transform-origin: 383.5px 10.2222px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eBonus thought: Why is the answer funny?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function ans = bank(g,y)\r\n  ans = g;\r\nend","test_suite":"%%\r\ny = 1;\r\ng = 1;\r\ny_correct = pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 1;\r\ng = 2;\r\ny_correct = 4*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 3;\r\ng = 1;\r\ny_correct = 3*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n%%\r\ny = 2;\r\ng = 2;\r\ny_correct = 8*pi;\r\nassert(isequal(bank(g,y),y_correct))\r\n","published":true,"deleted":false,"likes_count":13,"comments_count":7,"created_by":427930,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":641,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-06-18T14:06:08.000Z","updated_at":"2026-02-10T11:13:12.000Z","published_at":"2021-06-18T14:06:08.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a cylindrical piggy bank with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eradius \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eheight \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the bank's \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003evolume\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. [ \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is first input argument.]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBonus thought: Why is the answer funny?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45894,"title":"Volume of Cylinder","description":"Find the volume of a cylinder\r\n","description_html":"\u003cp\u003eFind the volume of a cylinder\u003c/p\u003e","function_template":"function y = volumeofcylinder(r,h)\r\n  y = ;\r\nend","test_suite":"%%\r\nr = 2;\r\nh = 2;\r\ny_correct = pi*r^2*h;\r\nassert(isequal(volumeofcylinder(r,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":441903,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":181,"test_suite_updated_at":"2020-06-13T11:26:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-12T19:48:13.000Z","updated_at":"2026-02-12T19:02:37.000Z","published_at":"2020-06-12T19:50:32.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the volume of a cylinder\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2681,"title":"Box!","description":"Given a box, find the volume of the cube. With each side = a.","description_html":"\u003cp\u003eGiven a box, find the volume of the cube. With each side = a.\u003c/p\u003e","function_template":"function y = Volume_Of_A_Box(x)\r\n  y = a^3;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(Volume_Of_A_Box(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":29714,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":299,"test_suite_updated_at":"2014-11-20T22:49:38.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-11-20T22:47:50.000Z","updated_at":"2026-02-11T18:35:38.000Z","published_at":"2014-11-20T22:49:38.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a box, find the volume of the cube. With each side = a.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":2929,"title":"Volume of a box","description":"Given a box with a length a, width b, and height c. Solve the volume of the box.","description_html":"\u003cp\u003eGiven a box with a length a, width b, and height c. Solve the volume of the box.\u003c/p\u003e","function_template":"function y = volume(a,b,c)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 1;\r\nb = 1;\r\nc = 1;\r\ny_correct = 1;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n\r\n%%\r\na = 2;\r\nb = 2;\r\nc = 2;\r\ny_correct = 8;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n\r\n%%\r\na = 3;\r\nb = 3;\r\nc = 3;\r\ny_correct = 27;\r\nassert(isequal(volume(a,b,c),y_correct))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":0,"created_by":33780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":724,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-03T02:21:35.000Z","updated_at":"2026-02-24T02:53:49.000Z","published_at":"2015-02-03T02:21:34.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a box with a length a, width b, and height c. Solve the volume of the box.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45897,"title":" Volume of Equilateral  Triangle Prism","description":"Find volume of equilateral triangle prism\r\nx = side of triangle\r\nl = length of prism","description_html":"\u003cp\u003eFind volume of equilateral triangle prism\r\nx = side of triangle\r\nl = length of prism\u003c/p\u003e","function_template":"function y = volumeofequilateraltriangleprism(x,l)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 2;\r\nl = 5;\r\ny_correct = ((x^2*sqrt(3))/4)*l;\r\nassert(isequal(volumeofequilateraltriangleprism(x,l),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":441903,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":86,"test_suite_updated_at":"2020-06-12T20:14:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-12T20:08:02.000Z","updated_at":"2026-02-12T12:18:43.000Z","published_at":"2020-06-12T20:08:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind volume of equilateral triangle prism x = side of triangle l = length of prism\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45675,"title":"Calculate the volume of a cone","description":"Calculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\r\n\r\n* Remember the equation for a cone is V = pi * r *r * h /3 \r\n\r\n\u003c \r\n\u003e\r\n","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375px 8px; transform-origin: 375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = cone_volume(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1,2];\r\ny_correct = [2.1];\r\nassert(abs(cone_volume(x) - y_correct) \u003c=.1)\r\n\r\n\r\n%%\r\nx = [1,2; 3,4; 5,6; 7,8 ];\r\ny_correct = [2.1; 37.7; 157.1; 410.5;];\r\nassert( all(abs(cone_volume(x) - y_correct) \u003c=.1) )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":464375,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":45,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-05-29T17:25:55.000Z","updated_at":"2026-02-16T12:12:24.000Z","published_at":"2020-05-29T17:27:16.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a cone given an array containing one column of radii and one column of the height of the cone.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":49815,"title":"Volume of Cylindrical Shell","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eConsider a cylinder with a non-zero thickness with an inner radius of r1 and an outer radius of r2. If the height of the cylinder is h, determine the volume of this cylindrical shell.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function v1 = cy(r1,r2,h)\r\n  v1 = r1*r2*sqrt(h);\r\nend","test_suite":"%%\r\nr1=1.0;\r\nr2=1.15;\r\nh=1.2;\r\nv_corr=1.2158;\r\nassert(isequal(cy(r1,r2,h),v_corr))\r\n%%\r\nr1=pi;\r\nr2=3/2*pi;\r\nh=3;\r\nv_corr=116.2735;\r\nassert(isequal(cy(r1,r2,h),v_corr))\r\n%%\r\nr1=0.37;\r\nr2=3.64;\r\nh=7;\r\nv_corr=288.3633;\r\nassert(isequal(cy(r1,r2,h),v_corr))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":69,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-15T01:20:01.000Z","updated_at":"2026-02-11T12:14:13.000Z","published_at":"2021-01-15T01:20:01.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsider a cylinder with a non-zero thickness with an inner radius of r1 and an outer radius of r2. If the height of the cylinder is h, determine the volume of this cylindrical shell.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2999,"title":"Billiards","description":"Considering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381px 8px; transform-origin: 381px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsidering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Volume_Rack(x)\r\nend","test_suite":"\r\n%%\r\nx = 2.438;\r\ny_correct = 910.502;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)\r\n\r\n%%\r\nx = 2.25;\r\ny_correct = 715.694;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)\r\n\r\n%%\r\nx = 2;\r\ny_correct = 502.659;\r\ny_calc = Volume_Rack(x);\r\nassert(abs((y_correct - y_calc) / y_correct) \u003c 1e-4)","published":true,"deleted":false,"likes_count":1,"comments_count":5,"created_by":34016,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2021-11-02T04:54:44.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2015-02-11T01:06:55.000Z","updated_at":"2026-02-17T09:08:22.000Z","published_at":"2015-02-11T01:30:26.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConsidering there are 15 pool balls, (b), in the game of pool, and given a radius, (r). What is the volume, (V), of a rack in the game of pool?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":42847,"title":"Isothermal Expansion","description":"Given the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\r\n\r\nHint: \u003chttps://en.wikipedia.org/wiki/Boyle's_law Boyle-Mariotte\u003e","description_html":"\u003cp\u003eGiven the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\u003c/p\u003e\u003cp\u003eHint: \u003ca href = \"https://en.wikipedia.org/wiki/Boyle's_law\"\u003eBoyle-Mariotte\u003c/a\u003e\u003c/p\u003e","function_template":"function V2 = Boyle_Mariotte(P1,V1,P2)\r\n  V2 = P1+V1-P2;\r\nend","test_suite":"%%\r\nassert(isequal(Boyle_Mariotte(66,96,99),64))\r\n%%\r\nassert(isequal(Boyle_Mariotte(5,80,125),3.2))\r\n%%\r\nassert(isequal(Boyle_Mariotte(4,39,104),1.5))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":12767,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":87,"test_suite_updated_at":"2016-05-05T13:55:28.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-05-05T13:48:27.000Z","updated_at":"2026-02-17T14:17:57.000Z","published_at":"2016-05-05T13:55:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the initial pressure and volume of an ideal gas, calculate the new volume, given the new pressure.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Boyle's_law\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eBoyle-Mariotte\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":42737,"title":"Spherical Volume","description":"Calculate the volume of a sphere.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 10.5px; transform-origin: 407px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 106px 8px; transform-origin: 106px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the volume of a sphere.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function Volume =VolumeOfSphere(radius)\r\n%\r\nend","test_suite":"tolerance = 1e-4;\r\n\r\n%%\r\nradius= 1;\r\nVolume_correct =  4.1888;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);\r\n\r\n%%\r\nradius= 2;\r\nVolume_correct =  33.5103;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);\r\n\r\n%%\r\nradius= 3;\r\nVolume_correct =  113.0973;\r\nassert(abs(VolumeOfSphere(radius) - Volume_correct) \u003c tolerance);","published":true,"deleted":false,"likes_count":7,"comments_count":4,"created_by":62653,"edited_by":223089,"edited_at":"2022-10-18T08:37:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":678,"test_suite_updated_at":"2020-10-08T13:11:43.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2016-02-19T00:29:06.000Z","updated_at":"2026-03-24T19:59:21.000Z","published_at":"2016-02-19T00:30:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a sphere.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44506,"title":"Volume of Spherical Shell","description":"In three-dimensional space, a spherical shell can be constructed from two concentric spheres.  Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.","description_html":"\u003cp\u003eIn three-dimensional space, a spherical shell can be constructed from two concentric spheres.  Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.\u003c/p\u003e","function_template":"function vol = Shell(r1,r2)\r\n  vol = r1*r2;\r\nend","test_suite":"%%\r\nr1=3.2;\r\nr2=3.8;\r\ny_correct=92.58902;\r\nassert(abs(Shell(r1,r2)-y_correct)\u003c1e-5)\r\n%%\r\nr1=1;\r\nr2=2;\r\ny_correct=29.32153;\r\nassert(abs(Shell(r1,r2)-y_correct)\u003c1e-5)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":180632,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":80,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-01-24T18:30:33.000Z","updated_at":"2026-03-10T15:09:47.000Z","published_at":"2018-01-24T18:30:33.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn three-dimensional space, a spherical shell can be constructed from two concentric spheres. Determine the volume of a spherical shell whose inner radius is r1 and outer radius is r2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44060,"title":"Volume Pillar","description":"Calculate the volume of a pillar with radius l and heigth ar.","description_html":"\u003cp\u003eCalculate the volume of a pillar with radius l and heigth ar.\u003c/p\u003e","function_template":"function y = Pillar_Size(l,ar)\r\n  y = x;\r\nend","test_suite":"%%\r\nl = 1;\r\nar = 2;\r\ny_correct = pi*2;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))\r\n\r\n%%\r\nl = 12;\r\nar = 25;\r\ny_correct = pi*3600;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))\r\n\r\n%%\r\nl = 6;\r\nar = 2;\r\ny_correct = pi*72;\r\nassert(isequal(Pillar_Size(l,ar),y_correct))","published":true,"deleted":false,"likes_count":15,"comments_count":1,"created_by":99516,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2100,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2017-02-06T15:36:59.000Z","updated_at":"2026-04-07T02:03:26.000Z","published_at":"2017-02-06T15:36:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCalculate the volume of a pillar with radius l and heigth ar.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":43032,"title":"Geometrical meaning of determinant","description":"Given two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\r\n\r\nFor example:\r\n\r\n  X=[0,1]'; Y=[1,0]'; \r\n  V = 1;\r\n  \r\n  X=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\r\n  V = 1;","description_html":"\u003cp\u003eGiven two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\u003c/p\u003e\u003cp\u003eFor example:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eX=[0,1]'; Y=[1,0]'; \r\nV = 1;\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\r\nV = 1;\r\n\u003c/pre\u003e","function_template":"function V = parallelogram_volume(X,Y,varargin)\r\n  V=1;\r\nend","test_suite":"%%\r\nX=[0,1]'; Y=[1,0]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[0,1]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[1,0]'; \r\nV = 0;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0]'; Y=[9,0]'; \r\nV = 0;\r\nassert(isequal(parallelogram_volume(X,Y),V))\r\n%%\r\nX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1]'; \r\nV = 1;\r\nassert(isequal(parallelogram_volume(X,Y,Z),V))\r\n%%\r\nX=[1,0,8]'; Y=[2,1,0]'; Z=[0,4,1]'; \r\nV = 65;\r\nassert(isequal(parallelogram_volume(X,Y,Z),V))\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":85738,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-05T07:11:10.000Z","updated_at":"2026-04-02T13:16:01.000Z","published_at":"2016-10-05T07:11:10.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[X=[0,1]'; Y=[1,0]'; \\nV = 1;\\n\\nX=[1,0,0]'; Y=[0,1,0]'; Z=[0,0,1];\\nV = 1;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":46746,"title":"Volume of a truncated cube","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 480.367px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 240.183px; transform-origin: 407px 240.183px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.85px 8px; transform-origin: 378.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe surface of a truncated cube consists of 6 octagons, and 8 equilateral triangles. Our truncated cube is parametrised by (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), where\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 20.4333px; transform-origin: 391px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 284.708px 8px; transform-origin: 284.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e refers to the distance between the center of the volume and the center of the octagons, and\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 269.15px 8px; transform-origin: 269.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e refers to the distance between the center of the volume and the center of the 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\" data-image-state=\"image-loaded\" width=\"450\" height=\"225\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.8px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 18.4px; text-align: left; transform-origin: 384px 18.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h_2 = \\sqrt{3} h_1\" style=\"width: 69px; height: 22px;\" width=\"69\" height=\"22\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.017px 8px; transform-origin: 133.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e we get the special case of a cube, and for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h_2 = (2\\sqrt3)/3 h_1\" style=\"width: 79px; height: 37px;\" width=\"79\" height=\"37\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.575px 8px; transform-origin: 78.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e we get a cuboctahedron.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 82px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 41px; text-align: left; transform-origin: 384px 41px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.7083px 8px; transform-origin: 33.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eYour task:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.117px 8px; transform-origin: 132.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Write a function which returns the volume \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.66667px 8px; transform-origin: 4.66667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 149.35px 8px; transform-origin: 149.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the truncated cube as function of the heights \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.375px 8px; transform-origin: 21.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. If the ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e/\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eh1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.0667px 8px; transform-origin: 75.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e violates the constraints \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"(2\\sqrt3)/3 \u003c= h_2 / h_1 \u003c= \\sqrt3\" style=\"width: 102.5px; height: 40px;\" width=\"102.5\" height=\"40\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.775px 8px; transform-origin: 219.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e return the volume of the related special case (cube or cuboctahedron) instead.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function V = TruncatedCube(h1,h2)\r\n  V = h1^3;\r\nend","test_suite":"%%\r\nh1 = abs(randn); % cube\r\nh2 = sqrt(3)*h1 + abs(randn);\r\nassert(abs(TruncatedCube(h1,h2) - 8*h1^3) \u003c 1e-6);\r\n%%\r\nh1 = abs(randn); % cuboctahedron\r\nh2 = 2*sqrt(3)/3*h1 - abs(randn);\r\nassert(abs(TruncatedCube(h1,h2) - (20/3)*h1^3) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(4,3*sqrt(3)) - 476) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(5,4*sqrt(3)) - 964) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(6,5*sqrt(3)) - 1692) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(7,5*sqrt(3)) - 2456) \u003c 1e-6);\r\nassert(abs(TruncatedCube(7,6*sqrt(3)) - 2708) \u003c 1e-6);\r\n%%\r\nassert(abs(TruncatedCube(8,6*sqrt(3)) - 3808) \u003c 1e-6);\r\nassert(abs(TruncatedCube(8,7*sqrt(3)) - 4060) \u003c 1e-6);\r\n%%\r\nswitch randi(4)\r\n    case 1, assert(abs(TruncatedCube(9,7*sqrt(3)) - 5544) \u003c 1e-6);\r\n    case 2, assert(abs(TruncatedCube(10,8*sqrt(3)) - 7712) \u003c 1e-6);\r\n    case 3, assert(abs(TruncatedCube(11,8*sqrt(3)) - 9676) \u003c 1e-6);\r\n    case 4, assert(abs(TruncatedCube(12,9*sqrt(3)) - 12852) \u003c 1e-6);\r\nend\r\n%%\r\nstr = fileread('TruncatedCube.m'); % sorry, no regexp hacks :-)\r\nassert(isempty(regexp(str,'regexp')));","published":true,"deleted":false,"likes_count":1,"comments_count":7,"created_by":11486,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-13T11:26:15.000Z","updated_at":"2020-10-13T13:03:02.000Z","published_at":"2020-10-13T13:03:02.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe surface of a truncated cube consists of 6 octagons, and 8 equilateral triangles. Our truncated cube is parametrised by (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e), where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e refers to the distance between the center of the volume and the center of the octagons, and\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e refers to the distance between the center of the volume and the center of the triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"225\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"450\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h_2 = \\\\sqrt{3} h_1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_2 = \\\\sqrt{3} h_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e we get the special case of a cube, and for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h_2 = (2\\\\sqrt3)/3 h_1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh_2 = \\\\frac{2\\\\sqrt3}{3} h_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e we get a cuboctahedron.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eYour task:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Write a function which returns the volume \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of the truncated cube as function of the heights \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. If the ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e/\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eh1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e violates the constraints \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"(2\\\\sqrt3)/3 \u0026lt;= h_2 / h_1 \u0026lt;= \\\\sqrt3\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{2\\\\sqrt3}{3} \\\\leq \\\\frac{h_2}{h_1} \\\\leq \\\\sqrt3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e return the volume of the related special case (cube or cuboctahedron) instead.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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