Geometry

Torus Volume

Volume of a torus (doughnut).

Formula

Formula
V = 2 π2 R r2

Variables

SymbolDefinitionType & rangeUnitsRole
R center-to-tube radius real number (ℝ) input
r tube radius real number (ℝ) input

Try it yourself

Interactive calculator
Result

Worked examples

Example 1
GivenR = 5, r = 2
Result394.784176
Example 2
GivenR = 10, r = 1
Result197.392088