Question

Find the volume of the right cone below. Round your answer to the nearest tenth if
necessary.

Answer 1

we know the diameter of the cone is 6, so its radius must be half that, or 3.

`\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=11 \end{cases}\implies V=\cfrac{\pi (3)^2(11)}{3} \implies V\approx 103.7`

Answer 2

V = (1/3)π(3^2)(11) = 33π = 103.4