Posted by **Samantha** on Saturday, December 29, 2012 at 3:40pm.

Two cylinders have the same volume. If the radius of cylinder I is 3 times the radius of cylinder II, then the height of cylinder II is how many times the height of cylinder I?

A. 12

B. 9

C. 6

D. 3

Please explain how, if possible.

- Geometry -
**drwls**, Saturday, December 29, 2012 at 4:22pm
Cylinder 1 has nine times the base area of cylinder 2.

Volume is (base area) x (height)

For the volumes to be equal, cylinder 2 must have 9 times the height of cylinder 2.

- Geometry -
**Henry**, Saturday, December 29, 2012 at 4:35pm
pi*r^2*h2 = pi*(3r)^2*h1.

pi*r^2*h2 = pi*9r^2*h1

Divide both sides by pi*r^2:

h2 = 9*h1.

- Geometry (typo correction) -
**drwls**, Sunday, December 30, 2012 at 2:16am
For the volumes to be equal, cylinder 2 must have 9 times the height of cylinder 1

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