Torus Volume Calculator (Donut & O-Ring)
Calculate volume and surface area of donuts, o-rings, tire tubes, and magnetic toroids. Enter your measurements below to calculate instant, accurate volume in gallons, liters, cubic feet, or cubic meters.
Enter Dimensions
Measure your torus (donut / o-ring) and select units for each measurement
How to Calculate Torus (Donut / O-Ring) Volume
Understand the mathematical formula and measurement method
Where R = center-to-tube radius, r = circular cross-section tube radius (r must be ≤ R).
Calculation Steps
- 1Measure major radius (R) from the center of the hole to the center of the tube.
- 2Measure minor radius (r), which is the radius of the circular tube itself.
- 3Apply the Pappus centroid theorem: Volume = 2 × π² × R × r².
Practical Everyday Uses for Torus (Donut / O-Ring)
Where this 3D calculation is applied in construction, shipping, and daily projects
Rubber O-Rings & Gaskets
Calculate rubber material volume required for automotive and aerospace seal manufacturing.
Inflatable Swimming Rings
Determine air volume needed to inflate river tubes and swimming rings.
Frequently Asked Questions
Common measurement questions for torus (donut / o-ring) volume
What is the formula for torus volume?▼
V = 2π²Rr², where R is the distance from the center of the whole ring to the center of the tube, and r is the radius of the tube.
Explore Other 3D Volume Calculators
Quick links to other shapes in our mathematical suite