{"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":"5aece9a5-825e-5e0f-9141-de2e1a891c88","task_key":"geometry--test--5aece9a5-825e-5e0f-9141-de2e1a891c88","task_revision_id":"1","upstream_id":"","short_description":"A sphere is inscribed in a cone with height 4 and base radius 3. What is the…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"A sphere is inscribed in a cone with height 4 and base radius 3.  What is the ratio of the volume of the sphere to the volume of the cone?\\n\\n[asy]\\nfill(circle((1.5,0),1.5),gray(.7));\\ndraw((0,3)--(4,0)--(0,-3));\\ndraw(circle((1.5,0),1.5));\\ndraw((0,0)..(1.5,-.3)..(3,0));\\ndraw((0,0)..(1.5,.3)..(3,0),dashed);\\ndraw(xscale(.15)*circle((0,0),3));\\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":[]}