Answer:
The radius is 10 inches.
Step-by-step explanation:
Remember that the formula for the volume of a cylinder is:
[tex]V=\pi r^2h[/tex]Solving for the radius r, we'll get:
[tex]\begin{gathered} V=\pi r^{2}h \\ \rightarrow r^2=\frac{V}{\pi h} \\ \\ \Rightarrow r=\sqrt{\frac{V}{\pi h}} \end{gathered}[/tex]Since we know the volume and the height, we'll have that:
[tex]\begin{gathered} \begin{equation*} r=\sqrt{\frac{V}{\pi h}} \end{equation*} \\ \\ \rightarrow r=\sqrt{\frac{4082}{3.14\times13}} \\ \\ \Rightarrow r=10in \end{gathered}[/tex]