Question

The radius of the large sphere is double the radius of the small sphere.

2 spheres are shown. One sphere has a radius of 3 and the second sphere has a radius of 6.

How many times is the volume of the large sphere than the small sphere?

2
4
6
8

Answer 1

Volume scales with the cube of the radius: V ∝ r^3. If radius doubles, volume multiplies by 2^3 = 8.

So the large sphere is 8 times the small sphere.