{"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":"4e1e85d0-026b-511e-a01e-15c406da8450","task_key":"geometry--test--4e1e85d0-026b-511e-a01e-15c406da8450","task_revision_id":"1","upstream_id":"","short_description":"An ice cream cone consists of a sphere of vanilla ice cream and a right circular…","config":"geometry","split":"test","body":"{\"level\":\"Level 4\",\"problem\":\"An ice cream cone consists of a sphere of vanilla ice cream and a right circular cone that  has the same diameter as the sphere. If the ice cream  melts, it will exactly fill the cone.  Assume that the melted ice cream occupies $75\\\\%$ of the volume of the frozen ice cream. What is the ratio of the cone's height to its radius? (Note: A cone with radius $r$ and height $h$ has volume $\\\\pi r^2 h/3$, and a sphere with radius $r$ has volume $4\\\\pi r^3/3$.)\",\"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":[]}