Assume that the radius r of a sphere is expanding at a rate of 7 in/min. The volume of a sphere is V = = πr³. Determine the rate at which the volume is changing with respect to time when r = 10 in. The volume is changing at a rate of in³/min.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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Assume that the radius r of a sphere is expanding at a rate of 7 in/min. The volume of a sphere is V = // πr³.
Determine the rate at which the volume is changing with respect to time when r = 10 in.
The volume is changing at a rate of
in³/min.
Transcribed Image Text:Assume that the radius r of a sphere is expanding at a rate of 7 in/min. The volume of a sphere is V = // πr³. Determine the rate at which the volume is changing with respect to time when r = 10 in. The volume is changing at a rate of in³/min.
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