Ellipsoid Volume Calculator: Volume, Surface Area, and Equivalent Sphere

Your details

Unit used for all three semi-axes. Output volume is shown in the matching cubic unit.
The first semi-axis: half the length along the x direction.
cm
The second semi-axis: half the length along the y direction.
cm
The third semi-axis: half the length along the z direction.
cm
Volume
251.3274

Exact volume: (4/3) x pi x a x b x c

Volume unitcm³
Surface area (approx.)199.5017
Surface area unitcm²
Equivalent sphere radius3.9149
Shape typeTriaxial ellipsoid (all axes differ)

Volume: 251.3274 cm³

  • Volume = (4/3) x pi x 5 x 3 x 4 = 251.3274 cm³.
  • A sphere with the same volume would have a radius of 3.9149 cm.
  • The approximate surface area is 199.5017 cm² (Thomsen formula, < 1.1% error).

Next stepFor medical imaging (prostate, ovary, kidney), the standard approximation V = L x W x H x 0.5236 is equivalent to this formula with the three semi-axes.

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