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The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in. that can be cut from the sphere if the pyramid is (a) square, (b) pentagonal, (c) hexagonal,

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 2CR: The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the...

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Question

The diameter of a sphere is 18 in. Find the largest volume of regular pyramid
of altitude 15 in. that can be cut from the sphere if the pyramid is (a) square,
(b) pentagonal, (c) hexagonal, and (d) octagonal

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