NumberCals

Torus Volume Calculator

Calculate volume and surface area of a torus (doughnut shape).

About this calculator

The Torus Volume Calculator on NumberCals is a free, mobile-friendly tool for anyone needing to calculate volume and surface area of a torus (doughnut shape). Enter your values in the form below and the result is computed instantly — no sign-up, no installation, no waiting.

Formula used

V = 2π²·R·r²; SA = 4π²·R·r

What you'll need

  • Major Radius (R, centre of tube to centre of torus) (e.g. 5)
  • Minor Radius (r, tube radius) (e.g. 2)

What you'll get

  • Volume
  • Surface Area
Formula
V = 2π²·R·r²; SA = 4π²·R·r

Frequently Asked Questions

R vs r? +

R is the distance from the centre of the torus to the centre of the tube. r is the radius of the tube itself. R must be ≥ r for a valid torus.

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