{"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":"e04011cb-97e1-563a-89f7-f0c7e6d5cd9a","task_key":"geometry--test--e04011cb-97e1-563a-89f7-f0c7e6d5cd9a","task_revision_id":"1","upstream_id":"","short_description":"Elliott Farms has a silo for storage. The silo is a right circular cylinder…","config":"geometry","split":"test","body":"{\"level\":\"Level 3\",\"problem\":\"Elliott Farms has a silo for storage. The silo is a right circular cylinder topped by a right circular cone, both having the same radius. The height of the cone is half the height of the cylinder. The diameter of the base of the silo is 10 meters and the height of the entire silo is 27 meters. What is the volume, in cubic meters, of the silo? Express your answer in terms of $\\\\pi$.\\n\\n[asy]\\nsize(150);\\ndraw((0,0)--(0,18)--(5,27)--(10,18)--(10,0),linewidth(1));\\ndraw((0,0)..(5,-1)..(10,0),linewidth(1));\\ndraw((0,0)..(5,1)..(10,0),linetype(\\\"0 4\\\")+linewidth(1));\\ndraw((0,18)..(5,17)..(10,18),linewidth(1));\\ndraw((0,18)..(5,19)..(10,18),linetype(\\\"0 4\\\")+linewidth(1));\\n\\ndraw((15,27)--(16,27),linewidth(1));\\ndraw((15,0)--(16,0),linewidth(1));\\ndraw((15.5,27)--(15.5,16),linewidth(1));\\ndraw((15.5,0)--(15.5,11),linewidth(1));\\nlabel(\\\"27 meters\\\",(15.5,13.5));\\n\\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":[]}