Question
Find the rate of change of the volume of a ball with respect to its radius r. How fast is the volume changing with respect to the radius when the radius is 2 m?
Solution
Let V be volume of ball of radius r
Rate of change of volume with respect to
When r = 2 m, rate of change of volume = 4
(2)2 = 16 
m3/m.
Rate of change of volume with respect to
When r = 2 m, rate of change of volume = 4
(2)2 = 16 m3/m.
