Cans A and B are both right circular cylinders. The radius of the base of Can A is 4 times the radius of the base of Can B, and the height of Can A is 5 times the height of can B. The volume of Can A is how many times the volume of Can B?
I keep getting 20 but the answer is 80. Can anyone explain?
Radius is squared in the cylinder volume formula.
445…
Let the radius of Can B be 1 unit and the height also be 1 unit. Then the volume of Can B is pi(r^2)h= pi(1^2)(1)= pi.
The radius of Can A is 4 and the height is 5, the volume of Can A is pi(r^2)h=pi(4^2)(5)=80pi, which is 80 times the volume of Can B.