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:
[tex]V=\pi r^2h[/tex]
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:
[tex]\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[/tex]
The ratio of the volumes of the two soup cans is 2.
