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Math Formulas > Geometry > Volume of an Ellipsoid

Volume of an Ellipsoid


a, b and c defines the vertical distances from the origin of the ellipsoid to its surface.

The volume of an ellipsoid is given by:
V = 4 /3 ∙ Π ∙ a ∙ b ∙ c

Π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however the value 3.14 is often used.

Example: determine the volume of an ellipsoid that has following properties:
a = 2 m
b = 3 m
c = 4 m

V = 4 /3 ∙ Π ∙ a ∙ b ∙ c = 4 /3 ∙ 3.14 ∙ 2 ∙ 3 ∙ 4 = 100.48 m3

Online Volume Calculator, click on the link will open a new window.

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