Volume of an Ellipsoid
Volume of an Ellipsoid
\[V = \frac{4}{3}\pi abc\]
Variables
V = volume of the ellipsoid (m³)
a = semi-axis along x (m)
b = semi-axis along y (m)
c = semi-axis along z (m)
Description
What is this formula?
This formula calculates the volume of an ellipsoid, a 3D shape where all three axes can have different lengths.
When to use it
Use this formula when modeling oval or stretched spherical objects in three dimensions.
Example
If an ellipsoid has:
a = 3 m
b = 2 m
c = 1 m
V = (4/3)π × 3 × 2 × 1
V = 8π
V ≈ 25.13 m³
Applications
- Geometry and mathematics
- Physics and astronomy
- Engineering modeling
- Medical imaging (organs approximation)
- 3D graphics
Download the fCalc app to calculate this formula and thousands more:
