How many cubic meters in a cylinder?

[LearninDaMath]

Homework Statement

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?

Homework Equations

The Attempt at a Solution

 

[LCKurtz]

Homework Statement

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?

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

 

[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.

 

[LearninDaMath]

Thanks jbunniii and LCKurtz