# Interior Volume of a Torus

## Description

In geometry, a torus (pl. tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a ring torus or simply torus if the ring shape is implicit.

The interior volume of a torus is easily computed using Pappus’s centroid theorem.

## Variables

V | interior volume of torus (m^{3}) |

π | pi |

R | major radius(distance from the center of the tube to the center of the torus) (m) |

r | minor radius(radius of the tube) (m) |