In order to calculate the volume of a cylinder, we can use the following formula:
[tex]V=\pi r^2h[/tex]Where r is the base radius and h is the height.
If the circumference is 8, we have:
[tex]\begin{gathered} C=2\pi r \\ 8=2\pi r \\ r=\frac{4}{\pi} \end{gathered}[/tex]Now, calculating the volume, we have:
[tex]\begin{gathered} V=\pi(\frac{4}{\pi})^2\cdot10 \\ V=\frac{160}{\pi} \\ V=50.93 \end{gathered}[/tex]So the correct option is the second one.
