Answer:
150.72 ft³
Explanation:
The volume of a cone can be calculated as:
[tex]V=\frac{1}{3}\cdot\pi\cdot r^2\cdot h[/tex]Where π is 3.14, r is the radius and h is the height of the cone.
The radius of the cone is equal to half of the diameter. So, the radius is equal to:
[tex]r=\frac{\text{Diameter}}{2}=\frac{8\text{ ft}}{2}=4\text{ ft}[/tex]Then, the volume of the cone is equal to:
[tex]\begin{gathered} V=\frac{1}{3}\cdot3.14\cdot4^2\cdot9 \\ V=\frac{1}{3}\cdot3.14\cdot16\cdot9 \\ V=150.72ft^3 \end{gathered}[/tex]Therefore, the volume of the cone is 150.72 ft³
