Question

During a construction project, heavy rain filled construction cones with water. The diameter of a cone is 12 in. and the height is 27 in.

What is the volume of the water that filled one cone?



Enter your answer as a decimal in the box.

Answer 1

if the diameter of a cone is 12, then its radius is half that, or 6.


`\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=6\\ h=27 \end{cases}\implies V=\cfrac{\pi (6)^2(27)}{3}\implies V=324\pi`