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

## Answer This Question

## Related Questions

- math - Inside a long empty cylinder with radius R = 25 cm is put a long solid ...
- mat 116/algebra - A cylinder has a radius of 5 in. If the volume of the cylinder...
- College Chemistry - If the density of cylinder 1 is 3.55 , what is the density ...
- physics - Consider two solid uniform cylinders that have the same mass and ...
- Geometry/Math - Two right circular cylinders have equal volume. The first ...
- Math: Geometry - The circumference of the base of a cylinder is 16 cm. The ...
- Physics - A 50 kg piston with a radius of 50 cm floats on a cylinder that is ...
- Math - The volume of a cylinder is given by formula V= pi(3.14) r^2h where r is ...
- Cylinder Height - A cylinder has surface area of 402 cm2. The height is three ...
- Algebra 1 - A cylinder has a radius of 5 in. If the volme of the cylinder is ...

More Related Questions