Nirmion
ヘルプ ツールを探す

MATH / SOLID GEOMETRY

Torus Volume Calculator

Calculate the volume and surface area of a ring torus. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Calculate the volume and surface area of a ring torus. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

V=2pi^2 Rr^2

What you provide

What you provide

  • Major radius expressed in units, using the same scenario as the other inputs
  • Tube radius expressed in units, using the same scenario as the other inputs

What you receive

What you receive

  • Torus volume in cubic units from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Major radius is measured from the torus center to the tube center and is at least the tube radius.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors