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) (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 = (3V)/( \pi r^(2))`

Now let's plug in our given values:

`h = (3(113.04))/( \pi (3)^(2))`

`h = 11.99`

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

I hope this helps!