Question

How many times larger is the volume of a sphere if radius is multiplied by 5

Answer 1

125 times larger

Explanation:

Let's say the radius is 3, just as an example.

The formula of a sphere is V=4/3 pi r^3

Then we can just substitute and test it out.

V=4/3 pi (3)^3

V=4/3 pi (27)

V=36 pi

Then multiple the previous radius by 5 to test it out.

V=4/3 pi (15)^3

V=4/3 pi (3375)

V=4500 pi

Then divide the bigger one by the smaller one

You will get 125, therefore it is 125 times larger

hope this helps :D