Question

Does doubling the height of a cylinder have the same effect on the volume of a cylinder as doubling the radius?

Answer 1

Answer:

No.

Step-by-step explanation:

$V = \pi r^2h$

If we double the radius, we get 4x the amount of volume as before.

$V = \pi (2r)^2h = 4 \pi r^2h$

however if we just double the height, we just get twice the volume.

$V = 2 \pi r^2 h$

Answer 2

Answer:

No, it does not have the same effect. Doubling the height of a cylinder doubles the volume, while doubling the radius generates a volume 4 times greater.

Step-by-step explanation: