The formula for the volume of a cone is: [tex] \pi r^2 \frac{h}{3} [/tex]
We know the radius and the volume, so we can solve for the height.
[tex]23=3.14*1^2* \frac{h}{3} [/tex]
We start by multiplying both sides by 3.
[tex]69=3.14*1*h--\ \textgreater \ 69=3.14*h[/tex]
To finish this problem, we divide both sides by 3.14 to get h on its own.
h = 21.97, so the height of the cone is 21.97 inches.
