Question

One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how many times the volume of the smaller sphere?

Answer 1

8

Explanation:

First off, we need to recognize that the formula for the volume of a sphere is
`(4)/(3) \pi r^3`.

Then, we can plug in our r values one at a time.

The volume for the sphere with a 6-inch radius is about 904.779.

The volume for the sphere with a 3-inch radius is about 113.097.

To find how much greater the larger sphere is, we simply create a ratio between the two numbers:
`(904.779)/(113.097)`

Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.