Enter the major radius R and minor radius r, choose the precision, and click "Calculate".
Calculator
A torus is a 3D shape that looks like a donut or an inner tube. It is formed by revolving a circle around an axis in its plane that does not intersect the circle.
Torus parameters:
- R — major radius: distance from the center of the torus to the center of the tube;
- r — minor radius: radius of the tube itself.
Required condition: R > r > 0. If r ≥ R, the tube intersects itself and the shape ceases to be a torus.
Volume formula
where R is the major radius and r is the minor radius of the torus.
Example
Let R = 5 cm, r = 2 cm:
V = 2 × π² × 5 × 2² ≈ 394.8 cm³
Applications:
Torus volume calculations are used to estimate the material needed for manufacturing toroidal parts, such as rubber gaskets, tubular rings, transformer windings, and inflatable elements.