Volume of a Torus

Volume calculator for a torus

Description, how many faces, edges and vertices are there in a torus

A torus is doughnut or ring shaped and is generated by rotating a circle around an axis outside it. It has a single curved surface, with no edges or vertices. It is defined by the major radius R (from the center to the center of the tube) and the tube radius r.

Examples of a torus

You can find many torus-shaped objects: a doughnut, a tire, an inner tube, a life ring or float and an O-ring seal. Can you think of any others? Leave us a comment in the box at the bottom of the page.

Formula for the volume of a torus

To calculate the volume of a torus you need the major radius (R) and the tube radius (r). Multiply 2 by π² by R and by the tube radius squared. You can also use the online tool to calculate the volume automatically.

Volume of other shapes

Volume of different geometric shapes: