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

If I double the height, I have a new height of 6in.

Let me calculate the volume with the new height.

Doubling the height causes the new volume to be two times the original!

V = πr^{2}h

V = π(4)^{2}(6)

V = 96π in.^{3}

96π
48π

=

2