# How many cubic meters in a cylinder?

1. Sep 13, 2012

### LearninDaMath

1. The problem statement, all variables and given/known data

Given a cylinder of radius = 5m, and height = 10m, how many cubic meters is that? If I just compute those values in the formula for a cylinder, I get 785.4. But 785.4 what? Is it785.4m^3?

2. Relevant equations

3. The attempt at a solution

2. Sep 13, 2012

### LCKurtz

Yes, you have a $\pi r^2h$ which dimensionally is $m^3$.

3. Sep 13, 2012

### jbunniii

Yes, look at the formula for volume:

$$V = \pi r^2 h$$

The units of both r and h are meters, so the units of volume are (meters)^2 * meters = (meters)^3.

4. Sep 13, 2012

### LearninDaMath

Thanks jbunniii and LCKurtz