Question

Please help I found this confusing​

Answer 1

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:

$V=\frac{1}{3} \pi r^2h$

Explaining variables:

$\pi$ - mathematical constant.

$r$ - radius of the cone

$h$ - height of the cone

$V$ - volume of the cone

Working out the height:

We are looking for the height, so let's re-arrange the equation.

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

We are given the height, volume and diameter.

To work out the radius we have to know that $d=2r$. So the radius is $\frac{12}{2} =6$ m.

Now let's put everything in the equation for the height to work it out.

$h= \frac{3 * 264}{(6)^2\pi } =\frac{792}{113.04}=7$ meters.

Therefore, the height of the cone is 7 meters.