The formula of volume of a cylinder is:
[tex]V=h\cdot\pi\cdot r^2[/tex]
Solve it for the radius r:
[tex]\begin{gathered} r^2=\frac{V}{h\cdot\pi} \\ \\ r=\sqrt[]{\frac{V}{h\cdot\pi}} \end{gathered}[/tex]
Use the given volume (V) and height (h) and find the radius:
[tex]\begin{gathered} r=\sqrt[]{\frac{320\pi m}{5m\cdot\pi}^3} \\ \\ r=\sqrt[]{64m^2} \\ \\ r=8m \end{gathered}[/tex]
Then, the radius of the given cylinder is 8 meters
