Math
Circle
Calculate area, circumference, and diameter.
Calculators / Math / Torus volume and surface area
Torus volume and surface area calculator
Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself.
On this page
Volume394.78units³
Surface area394.78units²
Calculator controls
How to calculate
Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself.
Volume = 2*pi^2*R*r^2 units³; Surface area = 4*pi^2*R*r units²
Worked example
Major radius: 5; Tube radius: 2.
Volume: 394.78 units³; Surface area: 394.78 units².
Assumptions and limits
Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself.
When this tool is useful
Volume = 2*pi^2*R*r^2 units³; Surface area = 4*pi^2*R*r units²
Understanding your inputs
| Input | What to enter |
|---|---|
| Major radius | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Tube radius | Enter a number of at least 1e-12 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Find the volume and curved surface of a ring torus using the distance to the tube centre and the radius of the tube itself. Use the same length unit throughout. Angles marked degrees use degrees. Results describe ideal geometric shapes.
How is the result calculated?
Volume = 2*pi^2*R*r^2 units³; Surface area = 4*pi^2*R*r units²