Question

A right circular cylinder has a radius of 6 inches and volume 144\pi^2. What is its height?[

Answer 1

The Volume of a right circular cylinder is found using the formula:


`V=Area_(base)*Height\\V=\pi r^2*h`

substituting the known values, we have:


`144\pi^2=\pi 6^2*h\\12^2\pi=6^2*h\\h= (12^2\pi)/(6^2)= ((12)/(6))^2\pi=4\pi`


Thus, the height = 4π ≈ 4*3.14= 12.56 (inches)