## College Algebra (11th Edition)

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. $h=4$