Question

What is the volume of this oblique cone?

Answer 1

well, according the Cavalieri's Principle, the volume of the oblique cone will be the same volume as the non-oblique cone, so

`\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9\\ h=16 \end{cases}\implies V=\cfrac{\pi (9)^2(16)}{3}\implies V=432\pi ~cm^3`