What happens to the volume of a cylinder with radius 4 in. and height 3 in. when you scale the radius?

If I double the radius, I have a new radius of 8in.

Let me calculate the volume with the new radius.

If I divide the new volume by the original, I see that doubling the radius causes the volume to be four times the original.

V = πr^{2}h

V = π(8)^{2}(3)

V = 192π in.^{3}

192π
48π

=

4