A spherical balloon is inflated with gas at a rate of 600 cubic centimeters per minute. (a) Find the rates of change of the radius when r = 30 centimeters and r = 45 centimeters. r = 30 $$ Correct: Your answer is correct. cm/min r = 45 $$ Correct: Your answer is correct. cm/min (b) Explain why the rate of change of the radius of the sphere is not constant even though dV/dt is constant.