Question

The formula for the volume of a sphere with radius r is shown above. The radius of the planet Jupiter is about

11 times the radius of planet Earth. Assuming that planets are spheres, about how many times larger is the
volume of Jupiter than the volume of Earth? Explain.

Answer 1

Jupiter's volume is 1331 times the volume of planet earth

Explanation:

The formula for the volume of a sphere is:

`V_(sphere)=(4)/(3) \pi \,R^3`

where R is the radius of the sphere.

So, if we consider the Earth as of radius R, and we are told that Jupiter has a radius which is 11 times that of the Earth (that is: 11*R), then the volume of Jupiter would be:

`V_(Jupiter) = (4)/(3) \,\pi \,(11\,R)^3= (4)/(3) \,\pi \,11^3\,R^3=1331\,(4)/(3) \,\pi \,R^3`

Which means that its volume would be 1331 times the volume of the Earth (
`V_(Earth)=(4)/(3) \pi \,R^3`)