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
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
⇒