Question

A ball is made of a plastic sphere covered with a layer of rubber. The plastic sphere has a radius of 18 in., and the ball itself has a radius of 22 in.

What is the volume of the rubber layer? Use 3.14 to approximate pi and round the answer to two decimal places.

___in3

Answer 1

rl - rubber layer, s - sphere, b - ball


`V_(rl)=V_b-V_s\\ V=(4)/(3)\pi R^3\\\\\\ V_(rl)=(4)/(3)\cdot3.14\cdot22^3-(4)/(3)\cdot3.14\cdot18^3\\ V_(rl)=(4)/(3)\cdot3.14(10648-5832)\\ V_(rl)=(4)/(3)\cdot3.14\cdot4816\\ V_(rl)=20162.99\text { in}^3`