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

Answer:

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

Step-by-step 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:

$\dfrac{V_2}{V_1}=\dfrac{\pi r^2 h_2}{\pi r^2 h_1}=\dfrac{\pi r^2 (2h)}{\pi r^2 h}=\dfrac{2}{1}=2$

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