14. A sphere of radius 1 overlaps a smaller sphere of radius r in such a way that their intersection is a circle of radius r.(In other words, they intersect in a great circle of the small sphere.) Find r so that the volume inside the small sphere andoutside the large sphere is as large as possible.

Subtract the volume of the cap of the bigger sphere from the volume of the small sphere's hemisphere…

Answered: way that their intersection is a circle…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 25CR

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way that their intersection is a circle of radius r. and r so that the volume inside the small sphere and