Compute the volume and surface area of a torus easily with this Torus Volume and Surface Area Calculator. Ideal for geometry and engineering calculations.
R = major radius (distance from center of tube to center of torus)
r = minor radius (radius of tube)
π ≈ 3.14159
| R | r | Volume | Surface Area |
|---|---|---|---|
| 3 | 1 | 59.217626 | 118.435253 |
| 5 | 2 | 394.784176 | 394.784176 |
| 4 | 1.5 | 177.652879 | 118.435253 |
| 6 | 2 | 473.741323 | 473.741323 |
| 2 | 0.5 | 4.934802 | 19.739208 |
1. Measure major radius R and minor radius r.
2. Apply the formulas: Volume V = 2 π² R r², Surface Area S = 4 π² R r.
3. Compute each using a scientific calculator or by hand.
The Torus Volume and Surface Area Calculator instantly computes both values with six-decimal precision. Useful for students, engineers, and anyone working with toroidal shapes.
• Donut shapes are classic examples of tori.
• Tori appear in physics, especially in magnetic confinement fusion.
• Volume is proportional to the square of the minor radius.
• Surface area is proportional to the minor radius.
• Tori are used in 3D modeling and computer graphics.