Question

The radius of Jupiter is 11 times the radius of earth. find ratio of their volumes and how many moons they have?

Answer 1

Radius of Earth = R

Radius of Jupiter = 11R

We know that the ratio of volumes of two spheres is the ratio of cubes of their radii.

Volume of Jupiter / Volume of Earth

= 11R³ / R³

= 1331R³ / R³

= 1331 / 1

= 1331 : 1

Jupiter has 67 moons and Earth has 1 moon.

Answer 2

Let the radius of the earth be R

So the radius of Jupiter be 11R.

Volume of Jupiter /volume of earth


= 4/3π(11R)^3 / 4/3πR^3

= 1331/1
= 1331.1

Since the ratio of volume is 1331.1

So Jupiter can accommodate 1331 earth