Exercise 47

A cylinder’s volume is \(126\pi\) cubic centimeters. Its height is \(14\) centimeters. Suppose we wanted to find how long is the cylinder’s radius. A cylinder’s volume formula is

\begin{equation*} V=\pi r^2h \end{equation*}

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:

\begin{equation*} 126 \pi=\pi r^2(14) \end{equation*}

Check whether \(3\) is a solution for \(r\) of this equation.