# Cone calculation

 Cone calculations radius Height: Base area: Perimeter: lateral height s: Lateral area: Surface: Volume:

For a cone, these formulae hold:
Base area = pi * Radius^2
Volume = 1/3 * base area * height
Lateral height = square root of (height^2+radius^2)
Surface = base area + lateral area

## What is a cone?

A cone is a solid created in the following way: Take a circle and a point right over the center of that circle. Connect this point with the border of the circle, and you get a cone.

## What are formulas for cones?

These are the cone formulas: The base area equals Pi*r^2 (cause it is a circle). For the volume, the formula V=1/3*G*h holds, where G is the base area and h is the height.
For the distance between upper point and circle border, the formula s^2=h^2+r^2 holds (gotten from Pythagoras' theorem).
Last but not least, the furmula M=Pi*r*s gives the lateral area of the cone.

For further information, just move your mouse over one of the following words, and the corresponding piece of the cone will be marked.