Question

Explain how to use the volume formula of a pyramid to show that the volume formula of a circular cone is 1 /3πππ2ℎ, where ππ is the radius of the cone and ℎ is the height of the cone

Answer 1

Next, I explain the full resolution.

Explanation:

First of all, we analyze the volume formula of a pyramid:

1/3 * B * h

Where h is the height of the pyramid, and B is the Area of the base of the pyramid, in this case, a square.

Then, in a circular cone, the base is a circle, so we can replace B with the area formula of a circle:

B= π * r^2

Where r is the radius of the cone

So if we replace in the original formula we have:

1/3 * π * r^2 * h

And if ππ is the radius of the cone, then the formula is:

1/3 * π * ππ^2 * h

Hope it helps! 