Answered: A sphere with radius R is circumscribed…

A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that is half it's radius. If cylinder takes up 1/3 of the sphere's volume, what is the ratio of r/R?

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 3E

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Question

A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that is half it's radius. If cylinder takes up 1/3 of the sphere's volume, what is the ratio of r/R?

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