A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the cylinder is twice its radius. Find the rate of change of the volume wrt the radius when r = 2 in.

Elementary Geometry For College Students, 7e
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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 13CR: The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10...
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1. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the cylinder is twice its radius. Find the rate of change of the volume wrt the radius when r = 2 in.

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Why is it =10πr33? particularly, why is the value 33?

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