Question

A spherical dodge ball has a radius r and a tennis ball has a radius 0.3r? What is the difference in volume between a dodge ball and a tennis ball?

Answer 1

4/3π(0.973r³)

Explanation:

Volume of a sphere = 4/3πr³

Given the radius of dodge ball rd = r

radius of tennis ball rt = 0.3r

Taking their difference

Volume difference = 4/3πrd³ - 4/3πrt³

Volume difference = 4/3π(r)³ - 4/3π(0.3r)³

Volume difference = 4/3π(r³ - 0.027r³)

Volume difference = 4/3π(0.973r³)

Hence the differmce in volume is 4/3π(0.973r³)