{"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":"3b00f6e6-1b0f-569a-9566-3123de620ab8","task_key":"geometry--test--3b00f6e6-1b0f-569a-9566-3123de620ab8","task_revision_id":"1","upstream_id":"","short_description":"The lateral surface area of the frustum of a solid right cone is the product of…","config":"geometry","split":"test","body":"{\"level\":\"Level 5\",\"problem\":\"The lateral surface area of the frustum of a solid right cone is the product of one-half the slant height ($L$) and the sum of the circumferences of the two circular faces. What is the number of square centimeters in the total surface area of the frustum shown here? Express your answer in terms of $\\\\pi$.\\n\\n[asy]\\ndraw( scale(1,.2)*arc(origin,10,180,360) ) ;\\ndraw( scale(1,.2)*arc(origin,10,15,165) , dashed ) ; //yes, there is a gap\\ndraw( (-10,0)--(10,0) , dotted ) ;\\nlabel(\\\"20cm\\\",(0,0),S);\\ndraw((0,0)--(0,8));\\nlabel(\\\"8cm\\\",(0,4),E);\\ndraw( shift(0,8)*scale(1,.2)*circle(origin,4) ) ;\\ndraw( (-4,8)--(4,8) , dotted ) ;\\nlabel(\\\"8cm\\\",(0,8),N);\\ndraw((-10,0)--(-4,8));\\ndraw((10,0)--(4,8));\\nlabel(\\\"$L$\\\",(5,4),NE);\\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":[]}