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

Chapter 3, Problem 13

(choose chapter or problem)

Volume 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 \(d r / d t\) is constant.

Text Transcription:

dr/dt

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