# Volume of a cone - circular

## Description

A cone is an n-dimensional geometric shape that tapers smoothly from a base (usually flat and circular) to a point called the apex or vertex. It is the solid figure bounded by a base in a plane and by a surface (called the lateral surface) formed by the locus of all straight line segments joining the apex to the perimeter of the base. The axis of a cone is the straight line (if any), passing through the apex, about which the base (and the whole cone) has a rotational symmetry. In common usage in elementary geometry, cones are assumed to be right circular, where circular means that the base is a circle and right means that the axis passes through the centre of the base at right angles to its plane. The volume of a cone can be calculated by the radius of circle at base and the distance from base to tip or height.

Related formulas## Variables

V | volume of a cone - circular (m^{3}) |

π | pi |

r | radius of circle at base (m) |

h | distance from base to tip or height (m) |