Answer
Height is 4 in.
Work Step by Step
The formula for the volume of a cylinder is $\pi{r}^2h$ and we know what the volume is from the problem.
$\pi{r}^2h=144\pi$
We are given in the problem that the radius is 6 so we just replace r with 6 and since r is squared we write 6 squared which is 36.
Now solve for h. First, divide each side by $36\pi$.
$h=144\pi/36\pi$
Solve the above equation. We get the answer that the height is 4 in.
$h=4$
