Question

A cone has a volume of 12 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of

Answer 1

`\bf \begin{array}{llll} \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\\ ----------\\ \textit{volume of a cylinder}\\\\ V=\pi r^2 h \end{array}\qquad \begin{cases} r=radius\\ h=height \end{cases}`

notice anything similar, for a cone and a cylinder, notice picture below, with the same exact "h" and "r"?

as in, their volume have the same numerator, but notice, the cone's is just a fraction of the cylinder's