Question

Karen calculates the volume of cylinder A with a radius of 3 inches, and a height of 6 inches. The volume of this cyliner is 54pi inches cubed. Cylinder B also had a radius of 3 inches, but the height is doubled. What is the relationship between the volumes of the two cylinders?

Answer 1

check the picture below.

$\bf \cfrac{large}{small}\qquad \cfrac{\pi r^2h}{\pi r^2 h}\implies \cfrac{\underline{\pi \cdot 3^2}\cdot 12}{\underline{\pi \cdot 3^2}\cdot 6}\implies \cfrac{12}{6}\implies \cfrac{2}{1}$

large to small, 2:1.