Ellipsoid Volume
Calculate the volume of an ellipsoid using the formula V = (4/3) x pi x a x b x c where a, b, c are the three semi-axes. Free online volume calculator for geometry and physics applications.
About This Calculator
The Ellipsoid Volume Calculator computes the volume using V = (4/3) x pi x a x b x c, where a, b, and c are the three semi-axes lengths. An ellipsoid is a 3D surface obtained by stretching a sphere along three perpendicular axes.
Real-world applications include calculating Earth's volume (as an oblate spheroid), medical imaging for organ volume estimation, and physics for moment of inertia calculations. When all three axes are equal, the ellipsoid becomes a sphere and V = (4/3)pir^3.
Frequently Asked Questions
What is the formula for ellipsoid volume?
The volume of an ellipsoid is V = (4/3) x pi x a x b x c, where a, b, and c are the lengths of the three semi-axes. This generalizes the sphere volume formula (4/3)pir^3 -- when a = b = c = r, both formulas agree.
What is the difference between ellipsoid and sphere?
A sphere has all three axes equal (radius r), while an ellipsoid can have three different axis lengths. Earth itself is an oblate spheroid (a type of ellipsoid) with equatorial radius larger than polar radius.
Is this calculator free?
Yes, all calculators on Calculy are completely free to use.