Volume of an Ellipsoid Calculator

Summary

Enter the three semi-axes a, b, and c to instantly compute the volume of any ellipsoid using V = (4/3)π·a·b·c.

How it works

1. Enter semi-axis a (half-length along the x-axis).
2. Enter semi-axis b (half-length along the y-axis).
3. Enter semi-axis c (half-length along the z-axis).
4. Select your unit of measurement (mm, cm, m, in, ft, etc.).
5. The volume is computed instantly using V = (4/3)π·a·b·c.
6. Copy the result or view the step-by-step formula breakdown.

Use cases

• Calculate the volume of a water tank or pressure vessel with an ellipsoidal shape.
• Determine the volume of a prolate or oblate spheroid in physics problems.
• Estimate the size of biological cells or organs modeled as ellipsoids.
• Verify geometry homework or exam calculations.
• Engineering design: check capacity of dome-capped silos or capsule containers.
• Astronomy: approximate the volume of non-spherical celestial bodies.
• Check that a sphere (a=b=c=r) gives the expected (4/3)πr³.

Frequently Asked Questions