Question

The volume of a cone is 540pi. work out the height of the cone.

Answer 1

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

$\pi \times r {}^{2} \times \frac{h}{3}$

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

$r {}^{2} \times \frac{h}{3} = 540$

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

$r {}^{2} h = 1620$

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

$r \times h = 40.249$

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!