Question

The volume of a cone is 42 in3 and the cone’s base area is 9 in2.

What is the height of the cone?

Answer 1

check the picture below, notice the base of the cone is really just a circle

thus
`\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius\\ h=height\\ ----------\\ V=42\\ r=\sqrt{(9)/(\pi )} \end{cases}\\\\ -----------------------------\\\\ 42=\cfrac{\pi \left(\sqrt{ (9)/(\pi )} \right)^2h}{3}`

solve for "h"