A cylinder’s volume is \(432\pi\) cubic centimeters. Its height is \(12\) centimeters. Suppose we wanted to find how long is the cylinder’s radius. A cylinder’s volume formula is

\(\displaystyle{V=\pi r^2h}\text{,}\)

where \(V\) stands for volume, \(r\) for radius and \(h\) for height. Let \(r\) represent the cylinder’s radius, in centimeters. We can solve this problem using the equation:

\(\displaystyle{432 \pi=\pi r^2(12)}\text{.}\)

Check whether \(36\) is a solution for \(r\) of this equation.