Mathematics

Problem

If the volume of a spherical ball is increasing at the rate of

4\pi

cc/sec, then the rate of increase of its radius (in cm/sec), when the volume is

288\pi

cc, is : [JEE-MAIN ONLINE-2014] (1)

\frac{1}{24}

(2)

\frac{1}{6}

(3)

\frac{1}{9}

(4)

\frac{1}{36}