{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-06-25T00:23:38.000Z","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":"2026-06-25T00:00:00.000Z","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":75,"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":"2026-06-04T17:19:01.000Z","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\"}]}"}],"problem_search":{"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":75,"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":"2026-06-04T17:19:01.000Z","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. 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