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A cylinder has a volume of 85.6 cubic meters. If the radius is tripled and the height is doubled, what is the volume of the new cylinder?
The volume of a cylinder V = pi*r^2*h
You may be able to just look at this and see that it would be 18 times as much
Anyway here is method:
85.6 = pi*r^2*h
Let x = new cylinder volume
If you tripled the radius and doubled the height you could write it like this:
x = pi* (3r)^2 * 2h
x = pi * 9r^2 * 2h
A proportion equation:
Cancel our like terms and you have:
1x = 18 * 85.6
x = 1540.8