Question

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

Answer 1

Answer:

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

Step-by-step explanation:

The formula for the volume of a sphere is:

$V_{sphere}=\frac{4}{3} \pi \,R^3$

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:

$V_{Jupiter} = \frac{4}{3} \,\pi \,(11\,R)^3= \frac{4}{3} \,\pi \,11^3\,R^3=1331\,\frac{4}{3} \,\pi \,R^3$

Which means that its volume would be 1331 times the volume of the Earth ($V_{Earth}=\frac{4}{3} \pi \,R^3$)