The radius r of a sphere is increasing at a rate of 3 inches per minute. (a)

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The radius r of a sphere is increasing at a rate of 3 inches per minute.

(a) Find the rates of change of the volume when r = 9 inches and r = 36 inches.

(b) Explain why the rate of change of the volume of the sphere
is not constant even though dr/dt is constant.

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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