The Volume of a right circular cylinder is found using the formula:
[tex]V=Area_{base}*Height\\V=\pi r^2*h[/tex]
substituting the known values, we have:
[tex]144\pi^2=\pi 6^2*h\\12^2\pi=6^2*h\\h= \frac{12^2\pi}{6^2}= (\frac{12}{6})^2\pi=4\pi [/tex]
Thus, the height = 4π ≈ 4*3.14= 12.56 (inches)
