Question

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?

Answer 1

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.