A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up 25% of the sphere's volume and its height and base diameter are equal. What is the ratio of r : R ?
A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up 25% of the sphere's volume and its height and base diameter are equal. What is the ratio of r : R ?
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up 25% of the sphere's volume and its height and base diameter are equal. What is the ratio of r : R ?
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