1) we calculate the volume of the Earth expressed in ft.
Volume of a sphere=(4/3)πr³
3960 miles=3960 miles(5280 ft/1 mile)=20908800 ft
Volume of the Earth=(4/3)π(20908800 ft)³=(4/3)9.140810²¹π ft³
2) we calculate the volume of a ping-pong ball at miles
V=(4/3)π(0.7441 in)³=(4/3)0.412π in³
3)we calculate how many times larger is the volume of the Earh tan the volume of a ping-pòng ball.
(4/3)0.412π in³------------------------ a ping-pong ball.
(4/3)9.140810²¹π ft³-------------- x
x=(4/3)9.140810²¹π ft³ volume of a ping-pong ball) /(4/3)0.412π in³)=
=2.2186510²² ping-pong balls.
Answer: The volume of the Earth is 2.21865*10²² times larger than the volume of a ping-pong ball.
