Question

A golf ball has a radius of 4 cm. A ping pong ball has a radius of 8 cm.

Calculate the volume of each sphere. Be sure to show all your work and leave your answer in terms of pi
.
If the radius of the ping pong ball is double the radius of the golf ball, how many times greater is the volume of the ping pong ball? Show your work.

Answer 1

The volume of a sphere with radius "r" is given by the formula: V = (4/3) * π * r^3.

The volume of the golf ball (with radius 4 cm) can be calculated as:

V_golf = (4/3) * π * 4^3 = (4/3) * π * 64 = 256/3 * π cubic cm.

The volume of the ping pong ball (with radius 8 cm) can be calculated as:

V_pingpong = (4/3) * π * 8^3 = (4/3) * π * 512 = 2048/3 * π cubic cm.

Since the radius of the ping pong ball is double the radius of the golf ball, its volume is 2^3 = 8 times greater than the golf ball. That is, V_pingpong = 8 * V_golf.