Mark the correct alternative in the following: The volume of a sphere is increasing at the rate of 4π cm 3 /sec. The rate of increase of the radius when the volume is 288 π cm 3 , is

Question

Philoid · Accepted Answer

The volume of a sphere, of radius r, is defined by

– (1)

Given that V=288π cm³,

Solving for r, we get r=6cm

Given that , we have to calculate

Differentiating (1) with respect to t, we get

Substituting values, we get

⇒

Mark the correct alternative in the following:The volume of a sphere is increasing at the rate of 4π cm3/sec. The rate of increase of the radius when the volume is 288 π cm3, is

Mark the correct alternative in the following:
The volume of a sphere is increasing at the rate of 4π cm³/sec. The rate of increase of the radius when the volume is 288 π cm³, is