Question

A company is considering changing the size of its cylinder-shaped container, but they don't know what is going to happen to the volume. They want to double the radius, but leave the height alone. What happens to the volume?

The volume becomes one and a half times the original.
The volume becomes twice the original.
The volume becomes four times the original.
The volume becomes three times the original.

Answer 1

Volume = πr^2h. If r → 2r and h unchanged, new volume = π(2r)^2h = 4πr^2h = 4 × original.

So the volume becomes four times the original.