CALCULATOR
Ellipsoid Volume Calculator
Find ellipsoid volume from three semi-axes. Example: Semi-axis a: 2 m, Semi-axis b: 2 m, Semi-axis c: 2 m gives 33.5103216383 m³. a,b,c are perpendicular semi-axis lengths, not full diameters. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
a,b,c are perpendicular semi-axis lengths, not full diameters. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Scale unit sphere by a,b,c; determinant abc scales volume.
Accepted inputs: Semi-axis a: 0.001 to 1,000 m; Semi-axis b: 0.001 to 1,000 m; Semi-axis c: 0.001 to 1,000 m.
How the calculation works
V = 4πabc/3
Worked example
With semi-axis a 2 m, semi-axis b 2 m, semi-axis c 2 m, ellipsoid volume from three semi-axes is 33.51032164 m³.
Assumptions and limits
a,b,c are perpendicular semi-axis lengths, not full diameters. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Scale unit sphere by a,b,c; determinant abc scales volume.