Mark the correct alternative in the following:
The volume of a sphere is increasing at 3 cm²/sec. The rate at which the radius increases when radius is 2 cm, is

Question

Mark the correct alternative in the following: The volume of a sphere is increasing at 3 cm 2 /sec. The rate at which the radius increases when radius is 2 cm, is

Philoid · Accepted Answer

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

– (1)

Given that r=2cm, , 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 3 cm2/sec. The rate at which the radius increases when radius is 2 cm, is

Mark the correct alternative in the following:
The volume of a sphere is increasing at 3 cm²/sec. The rate at which the radius increases when radius is 2 cm, is