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Ellipsoid Volume from Three Semi-Axes Calculator

V = (4 / 3) · π · a · b · c.

Compute the volume of an ellipsoid (a 3-D generalization of an ellipse) from its three semi-axis lengths a, b, c: V = (4 / 3) · π · a · b · c. Reduces to the sphere volume (4/3) π r³ when a = b = c = r. Useful for fruit-volume estimation, planetary geometry (Earth is an oblate spheroid), and aerodynamic body modeling.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

V = (4/3) · π · a · b · c.

In depth

Compute the volume of an ellipsoid (a 3-D generalization of an ellipse) from its three semi-axis lengths a, b, c: V = (4 / 3) · π · a · b · c. Reduces to the sphere volume (4/3) π r³ when a = b = c = r. Useful for fruit-volume estimation, planetary geometry (Earth is an oblate spheroid), and aerodynamic body modeling.