Mark the correct alternative in the following: The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

Question

Philoid · Accepted Answer

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

– (1)

Given that r=15cm, , we have to calculate

Differentiating (1) with respect to t, we get

Substituting values, we get

Mark the correct alternative in the following:The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is

Mark the correct alternative in the following:
The radius of a sphere is increasing at the rate of 0.2 cm/sec. The rate at which the volume of the sphere increases when radius is 15 cm, is