Question

Find the volume of a cone with a height of 9 ft and a base diameter of 8 ft. Use the value 3.14 for pi, and do not do any rounding, Be sure to include the correct unit in your answer

Answer 1

150.72 ft³

Step-by-step explanation:

The volume of a cone can be calculated as:

`V=(1)/(3)\cdot\pi\cdot r^2\cdot h`

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:

`r=\frac{\text{Diameter}}{2}=\frac{8\text{ ft}}{2}=4\text{ ft}`

Then, the volume of the cone is equal to:

`\begin{gathered} V=(1)/(3)\cdot3.14\cdot4^2\cdot9 \\ V=(1)/(3)\cdot3.14\cdot16\cdot9 \\ V=150.72ft^3 \end{gathered}`

Therefore, the volume of the cone is 150.72 ft³