The radius of a sphere is 6 Inches and increasing at a rate of 5 inches per minute. How fast is the volume of the sphere changing?

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06-01-2022
Mathematics

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The radius of a sphere is 6 Inches and increasing at a rate of 5 inches per minute. How fast is the volume of the sphere changing?

Sagot :

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ilyons40 ilyons40 · Answer 1 · 2022-01-06T15:28:50-05:00

ilyons40 ilyons40

06-01-2022

Answer:

Step-by-step explanation:

The rate of change of the radius dr/dt = . 75 in/min because the radius is increasing with respect to time. hence, the volume is increasing at a rate of 75π cu in/min when the radius has a length of 5 inches.

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