Question

A cone has a diameter of 3 inches. The cone holds 12 inches of water. to the nearest inch what is the height of the Cone

Answer 1

`\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}\qquad \begin{cases} r=radius=(diameter)/(2)\\ h=height\\ ----------\\ diameter=3\\ r=(3)/(2)\\ V=12 \end{cases}\implies 12=\cfrac{\pi \left( (3)/(2) \right)^2 h}{3}`

solve for "h"