{"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":"1b31efc5-93d9-57fe-a8b1-380ff4ae2a22","task_key":"geometry--test--1b31efc5-93d9-57fe-a8b1-380ff4ae2a22","task_revision_id":"1","upstream_id":"","short_description":"A right circular cone is inscribed in a right circular cylinder. The volume of…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is $72\\\\pi$ cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone? Express your answer in terms of $\\\\pi$.\\n\\n[asy]\\nimport solids; size(150); import three; defaultpen(linewidth(0.8)); currentprojection = orthographic(5,0,3);\\nrevolution c = cylinder((0,0,0), 1, 3);\\nrevolution c2 = cone((0,0,0), 1, 3);\\ndraw(c,black);\\ndraw(c2,black);\\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":[]}