To completely cover a spherical ball, a ball company uses a total area of 36 square inches of material. what is the maximum volume the ball can have?

Area of a sphere is 4pr^2 and the volume of a sphere is (4pr^3) / 3.

You are told that A=36 so

4pr^2=36

pr^2=9

r = (9/p) ^ (1/2)

Using this r in the volume equation we see that ...

V = (4p/3) (9/p) ^ (3/2)

V~20.31in^3