Question

The cylinder shown has a volume of 3.14 in3. Find the volume of a cone with the same base and height as the cylinder

Answer 1

`\bf \begin{array}{llll} \textit{volume of a cylinder}\\\\ V=\pi r^2 h \end{array}\qquad \qquad\qquad \begin{array}{llll} \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\implies \cfrac{1}{3}(\pi r^2 h) \end{array}`

notice, the volume of a cylinder with a radius of "r" and a height of "h" is that much, whilst the volume of a cone with the same exact "r" and "h" is, well, one third that of the cylinder's.