Answer:
Height = 7 meters
Step-by-step explanation:
Equation:
To work out the height, you need to know the formula for the volume of a cone which is:

Explaining variables:
- mathematical constant.
- radius of the cone
- height of the cone
- volume of the cone
Working out the height:
We are looking for the height, so let's re-arrange the equation.

We are given the height, volume and diameter.
To work out the radius we have to know that
. So the radius is
m.
Now let's put everything in the equation for the height to work it out.
meters.
Therefore, the height of the cone is 7 meters.