Question

Assume that the radius r of a sphere is expanding at a rate of 40 cm/min....

Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = (4/ 3) π r ^3 and its surface area is 4 π r ^2 . Determine the rate at which the volume is changing with respect to time at t = 2 min, assuming that r = 0 at t = 0 .

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