V.4 How do they differ?
Volume
What happens to the volume of a cylinder with radius 4 in. and height 3 in. when you scale the radius?
Damien's "Double the Radius" Method
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 = πr2h
V = π(8)2(3)
V = 192π in.3
192π
48π
=
4