{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"math","formal_name":"MATH","introduction":"MATH organises 12,500 high-school competition problems into seven subjects and five difficulty levels, each with a full worked solution. It underlies much of the later mathematics evaluation work; this catalogue imports the full test split: 5,000 problems across all seven subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://github.com/hendrycks/math","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"b9677ec7-2d62-5f8a-a2b8-51560755579a","task_key":"geometry--test--b9677ec7-2d62-5f8a-a2b8-51560755579a","task_revision_id":"1","upstream_id":"","short_description":"Find the volume of this solid in terms of $\\pi$.","config":"geometry","split":"test","body":"{\"level\":\"Level 2\",\"problem\":\"Find the volume of this solid in terms of $\\\\pi$.\\n\\n[asy]\\nimport solids; size(200); import three; defaultpen(linewidth(0.8)); currentprojection = orthographic(5,0,3);\\nrevolution c = cylinder((0,0,0), sqrt(3), 10);\\nrevolution c2 = cone((0,0,10), sqrt(3), 10);\\ndraw(c,black);\\ndraw(c2,black);\\ndraw((3,0)--(3,8.5),Arrows(TeXHead));\\nlabel(\\\"10\\\",(3,0)--(3,8.5),E);\\ndraw((0,0)--(sqrt(3),0),Arrows(TeXHead));\\nlabel(\\\"$\\\\sqrt{3}$\\\",(0,-.5)--(sqrt(3),-.5),S);\\ndraw((3,8.5)--(3,17.3),Arrows(TeXHead));\\nlabel(\\\"10\\\",(3,8.5)--(3,17.3),E);\\n[/asy]\",\"type\":\"Geometry\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://github.com/hendrycks/math","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}