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

$$V=\pi r^2h=\pi (1)^2(4.5)$$

mertsj · Answer

$$V= \pi(2)^2(4.5)=4\pi(4.5)$$

mertsj · Answer

Do you see that the second volume is 4 times the first volume?

anonymous · Answer

This is a volume question
The volume of a cylinder is pi(radius)^2(height)

This is equivalent to pi(1)4.5

You have to find double the diameter, which is double the radius.

pi(2)^2(4.5)

= 56.55

Does that make sense?

mertsj · Answer

So it should hold 4 times as much.  Do you see that?