Question

You are blowing air into a spherical balloon at a rate of 11 cubic inches per second. Given that the radius of the balloon is 4 inches when =1 seconds answer the following questions: (a) How fast is the radius of the balloon growing at =1 seconds. (b) What is the rate of change of the surface area at =1 seconds?

Answer 1

(a) The rate of the radius growing at =1 seconds is 2.75 inches per second.

(b) The rate of change of the surface area at =1 seconds is 33.51 square inches per second.