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VolLab
A sphere stretched along up to three different axes.
Set a = b = c and the ellipsoid volume formula 4/3·π·a·b·c collapses to 4/3·π·r³ — the familiar sphere volume formula. An ellipsoid is a sphere independently stretched along each axis.
Rugby balls, planets (which bulge slightly at the equator), and pharmaceutical capsules are all commonly modeled as ellipsoids for volume estimates.
Volume
251.327
What you entered
Volume = 4/3 × π × a × b × c
(4/3) × π × 5 × 3 × 4= 251.3274Result
Volume: 251.327
An ellipsoid with semi-axes 5, 3, and 4 has a volume of 251.327. Setting all three semi-axes equal gives the familiar sphere formula.