The Equation of the Volume of a Cone is:
[tex]V = \pi r^{2} \frac{h}{3} [/tex]
We are given the radius(3) and the volume(113.04). So we must rearrange for 'h' and solve.
[tex]3V = \pi r^{2}h [/tex]
[tex]h = \frac{3V}{ \pi r^{2}} [/tex]
Now let's plug in our given values:
[tex]h = \frac{3(113.04)}{ \pi (3)^{2}} [/tex]
[tex]h = 11.99[/tex]
Therefore, the height of the cone is approximately 11.99 meters.
I hope this helps!
