Question

A cylindrical soup can has a height of 8 in. and a radius of 3in. If the height is doubled on a second soup can, what will be the ratio of the volumes of the two soup cans?

Answer 1

The ratio of the volumes of the two soup cans is 2.

Explanation:

The volume of a cylinder can be written as:

`V=\pi r^2h`

where r is the radius of the base and h is the height.

If the height of the second cylinder doubles the height of th first cylinder, the ratio of volume between the second and the first cylinder is:

`(V_2)/(V_1)=(\pi r^2 h_2)/(\pi r^2 h_1)=(\pi r^2 (2h))/(\pi r^2 h)=(2)/(1)=2`

The ratio of the volumes of the two soup cans is 2.