For this problem, we are given the height and radius of the base of a cone. We need to determine the cone's volume.
A cone's volume can be calculated with the following expression:
[tex]V=\pi r^2\frac{h}{3}[/tex]
We need to apply the given data to the expression above, this is done below:
[tex]\begin{gathered} V=3.14\cdot(28)^2\cdot\frac{66}{3} \\ V=3.14\cdot784\cdot22 \\ V=54159\text{ cubic meters} \end{gathered}[/tex]
The cone's volume is equal to 54,159 cubic meters.
