Volume of Ellipsoid Formula

[Tex]V = \frac{4}{3}\pi abc [/Tex]

where a, b and c are the semi- axes of the given ellipsoid.

Volume of an Ellipsoid

Volume of an Ellipsoid Formula: An ellipsoid can be called a 3D equivalent of an ellipse. It can be derived from a sphere by contorting it using directional scaling or, more broadly, an interpolation conversion. An ellipsoid is evenly spaced at three coordinate axes that intersect at the center. 

In this article, we will discuss the volume of an ellipsoid, and provide solved examples on it.

Table of Content

  • What is an Ellipsoid?
  • Equation of Ellipsoids
  • Volume of Ellipsoid Formula
  • Solved Examples on Volume of an Ellipsoid
  • Volume of an Ellipsoid Practice Problems

The above picture shows an ellipsoid, its three semi-axes denoted a, b, and c are also shown. Ellipsoids occur in nature in the shape of watermelons, as well as the female reproductive organs and male urinary bladder. The study of the ellipsoid volume is necessary as it helps doctors calculate the volume of ovaries and urinary bladders.

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What is an Ellipsoid?

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Equation of Ellipsoids

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Volume of Ellipsoid Formula

[Tex]V = \frac{4}{3}\pi abc [/Tex] where a, b and c are the semi- axes of the given ellipsoid....

Solved Examples on Volume of an Ellipsoid

Problem 1. Find the volume of an ellipsoid with 5, 6, and 11 cm radii....

Volume of an Ellipsoid Practice Problems

1. Given an ellipsoid with semi-axis lengths a = 3 cm, b = 4 cm, and c = 5 cm, calculate its volume....

Conclusion of Ellipsoid

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Volume of an Ellipsoid – FAQs

What tools can I use to calculate the volume of an ellipsoid?...