If a can of ravioli with a diameter of 2 inches and a height of 4.5 inches holds 12 ounces of ravioli, how many ounces of ravioli would a can with the same height, but double the diameter, hold?

Question

mertsj · Answer

$$V _{1}=\pi(1)^2(4.5)=4.5\pi$$
$$V _{2}=\pi(2)^2(4.5)=18\pi$$

mertsj · Answer

Well, look at that!!  The bigger can has a volume that is 4 times the volume of the little can so I guess it would hold 4 times as much.  What do you think?