Problem

General: Geometry The formula for the volume of a sphere is , where r is the radius of t...

General: Geometry The formula for the volume of a sphere is , where r is the radius of the sphere and π is a constant.

a. Show that the derivative of the volume formula is 4??r ², the formula for the surface area of a sphere.

b. Give an explanation for this in terms of rates of change.

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Solutions For Problems in Chapter 2

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