190k views
13 votes
Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft. Round your answer to the nearest tenth of a cubic foot.

Find the volume of a right circular cone that has a height of 4.5 ft and a base with-example-1
User Zok
by
3.2k points

1 Answer

9 votes

if it's diameter is 19, then its radius must be half that, or 9.5.


\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9.5\\ h=4.5 \end{cases}\implies V=\pi (9.5)^2(4.5)\implies V\approx 1275.9~ft^3

User Jonathan Viccary
by
3.2k points