If the radius of the earth is roughly 3,960 miles, how many times lager is the volume of the earth than the volume of the ping pong ball? a ping pong ball has a radius of 0.7441 inches. 1 miles = 5,280

The volume of a sphere is V = (4/3)πr^3

V(earth)/V(ping pong ball)
= [(4/3)*π*(re)^3] / [(4/3)*π*(re)^3]
= (re)^3/(rp)^3
where re = radius of the earth, rp = radius of the ping pong ball

You need to use a calculator because we expect that this is a large or very small number.

Given that re = 3960 miles and rp = 0.7441 inches (1 miles/5280 feet)(1 feet/12 inches) = 1.1744 x 10^(-5) miles

Therefore,
(3960^3) / [1.1744 x 10^(-4)] ^3
= 3.8339 x 10^25 times larger than the ping-pong ball