# Volume of cones

## Cones

The volume of a cone works on area of the base multiplied by height and some factor.

Area of base = `\pir^2`

Volume of cone = `1/3\times\volume\ of\ a\ cyli\nder`

Volume of cone = `1/3\times \Area\ of\ base\times\ height`

Volume of cone = `1/3\times \pir^2\times\ height`

3 cones fill 1 cylinder (with the same size base and height).

**NOTE:**

Areas shaded blue are all equal.