Volume

Volume[reg]
gives the volume of the three-dimensional region reg.

Details and OptionsDetails and Options

  • A three-dimensional region can be embedded in any dimension greater than or equal to three.
  • Volume takes an Assumptions option that can be used to specify assumptions on parameters.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

The volume of a unit ball in 3D:

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The volume of a standard simplex in 3D:

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The volume of a region of dimension two or lower is :

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The volume of a region of dimension four or higher is :

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Introduced in 2014
(10.0)