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Ellipsoid Volume Calculator.

Calculate the volume of an ellipsoid from its three semi-axes.

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Results update as you type.

volume: 25.132741 units³

volume

25.132741units³

Results update automatically as you type.

Use Cases

Engineering and Design

Determine the volume of ellipsoidal tanks, pressure vessels, or components to estimate capacity or material requirements.

Example: Calculate the volume of an ellipsoidal tank with semi-axes 2m, 1.5m, and 1m.

Medical and Biological Applications

Estimate the volume of organs or lesions approximated as ellipsoids, such as in ultrasound or MRI measurements.

Example: Estimate the volume of a kidney with semi-axes 6cm, 3cm, and 2cm.

Frequently Asked Questions

What is an ellipsoid and how is its volume calculated?
An ellipsoid is a 3D shape where all cross-sections are ellipses. Its volume is calculated using the formula V = (4/3)πabc, where a, b, and c are the lengths of the three semi-axes. This calculator uses that formula to give you the volume instantly.
What units should I use for the semi-axes?
You can use any unit of length (e.g., meters, centimeters, inches) as long as all three semi-axes are in the same unit. The volume will be in cubic units of that same unit (e.g., cubic meters if you use meters).
Can I use this calculator for a sphere?
Yes, if all three semi-axes are equal, the ellipsoid becomes a sphere. The calculator will correctly compute the volume using the sphere formula V = (4/3)πr³, where r is the common semi-axis length.

Tips & Common Mistakes

Tips

  • Ensure all three semi-axes are measured in the same unit to get the volume in cubic units of that unit.
  • Double-check that you are entering semi-axes (half the full length) not full diameters. If you have diameters, divide each by 2 first.
  • For a quick estimate, you can round the semi-axes to the nearest whole number, but for precise results, use exact measurements.
  • Remember that the volume scales with the cube of the linear dimensions, so small measurement errors can lead to larger volume errors.

Common Mistakes to Avoid

  • Entering diameters instead of semi-axes. The semi-axis is half the full length across the ellipsoid's center.
  • Using different units for the three semi-axes, which leads to incorrect volume calculations. Always convert to the same unit first.
  • Confusing the ellipsoid volume formula with that of an ellipse area. The volume formula includes the factor 4/3π, not π.

Last updated: August 13, 2026