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 (m3) |
| 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) |