Question

A sphere has a radius of 3 and a different sphere has a radius of 6. Compare the ratio of the volume of the smaller sphere to the volume of the larger sphere

Answer 1

Since we are dealing with a volume problem (3 dimensions) when you increase the radius by a factor of 2, you increase the volume by a factor of 2^3 or 8
So, the larger sphere has a volume 8 times greater than the smaller sphere.