Question

If a cone has a volume of 113.04 cubic meters and a radius of 3 meters, what is the height of the cone?

Answer 1

The Equation of the Volume of a Cone is:
$V = \pi r^{2} \frac{h}{3}$

We are given the radius(3) and the volume(113.04). So we must rearrange for 'h' and solve.

$3V = \pi r^{2}h$
$h = \frac{3V}{ \pi r^{2}}$

Now let's plug in our given values:
$h = \frac{3(113.04)}{ \pi (3)^{2}}$
$h = 11.99$

Therefore, the height of the cone is approximately 11.99 meters.

I hope this helps!