The volume of a cone can be calculated by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
where
[tex]\begin{gathered} r=\text{radius = 5} \\ h=\text{ height = 5} \end{gathered}[/tex]
Substituting into the formula, we have
[tex]V=\frac{1}{3}\times3.14\times5^2\times5[/tex]
Solving, we have
[tex]\begin{gathered} V=\frac{1}{3}\times3.14\times25\times5 \\ V=130.83 \end{gathered}[/tex]
Therefore, the volume of the cone to the nearest hundredth is 130.83 cubic units
