Answer
The volume of the cylinder is\[133\pi \text{ }{{\text{m}}^{3}}\text{ or 419 }{{\text{m}}^{3}}\].
Work Step by Step
The radius and height of the cone is 5m and 16m, respectively. The volume of the cone will be computed multiplying by the square of radius with the height and finally multiplying the resultant with the value of pie. Now, multiply the final resultant figure with one-third to get the volume of right circular cone.
Compute the volume of the cone using the equation as shown below:
\[\begin{align}
& \text{Volume of the Cone }\left( V \right)=\frac{1}{3}\left( \pi {{\left( 5\text{ m} \right)}^{2}}16\text{ m} \right) \\
& =\frac{1}{3}\times 400\pi \text{ }{{\text{m}}^{3}} \\
& =\frac{400\pi \text{ }{{\text{m}}^{3}}}{3}
\end{align}\]
Further simplify it to get:
\[\begin{align}
& \text{Volume of the Cone }\left( V \right)=133\pi \text{ }{{\text{m}}^{3}} \\
& =419~\text{ }{{\text{m}}^{3}}
\end{align}\]
