Question

Find the volume of a right circular cone that has a height of 6ft and a base with a radius of 9.7ft. Round your answer to the nearest tenth of a cubic foot.

Answer 1

We can express the volume of a cone with the equation:

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

where Ab is the area of the base, r is the radius of the base and h is the height of the cone.

Then, replacing with r=9.7 ft and h=6 ft, we get:

`\begin{gathered} V=(1)/(3)\pi\cdot(9.7ft)^2\cdot(6ft) \\ V=(1)/(3)\pi\cdot94.09ft^2\cdot6ft \\ V\approx591.2ft^3 \end{gathered}`

Answer: the volume is 591.2 cubic feet.