Processing...
`V = 4/3 * pi * "a" * "b" * "c" `
Enter a value for all fields
The Volume of an Ellipsoid formula, V = 4/3⋅π⋅a⋅b⋅c, computes the volume of an ellipsoid with semi-axes of lengths a, b, and c.
INSTRUCTIONS: Choose units and enter the following:
- (a) semi-axis a.
- (b) semi-axis b.
- (c) semi-axis c.
Volume of an Ellipsoid (V): The volume of the ellipsoid (v) is returned in cubic meters. However, the volume can be automatically converted to other volume units (e.g. cubic feet, gallons, barrels) via the pull-down menu. 
The Math / Science
The formula for the volume of an ellipsoid is as follows:
V = 4/3⋅π⋅a⋅b⋅c
where:
- V is the volume of the ellipsoid
- a, b and c are the lengths of the semi-axes
An ellipsoid is the most general shape in the class that includes:
- ellipsoid
- oblate spheroid
- sphere
Note that in each progressing case the number of axes with different lengths reduces from 3 in an ellipsoid, to 2 in an oblate spheroid, to one uniform radius in a sphere. Note that this formula is the equivalent to the volume of a sphere:
V = 4/3⋅π⋅a⋅b⋅c
V = 4/3⋅π⋅a⋅a⋅a
V = 4/3⋅π⋅a3 where a is the radius (r) of the sphere.
Ellipsoid Calculator
- Ellipsoid - Volume computes the volume of an ellipsoid based on the length of the three semi-axes (a, b, c)
- Ellipsoid - Surface Area computes the surface area of an ellipsoid based on the length of the three semi-axes (a, b, c)
- Ellipsoid - Mass or Weight computes the mass or weight of an ellipsoid based on the length of the three semi-axes (a, b, c) and the mean density.
- Oblate Spheroid - Volume computes the volume of an Oblate Spheroid based on the length of the two semi-axes (b, c)
- Oblate Spheroid- Surface Area computes the surface area of an Oblate Spheroid based on the length of the two semi-axes (b, c)
- Oblate Spheroid- Mass or Weight computes the mass or weight of an Oblate Spheroid based on the length of the two semi-axes (b, c) and the mean density.
- Sphere - Volume computes the volume of a sphere based on the length of the radius (a)
- Sphere - Surface Area computes the surface area of a sphere based on the length of the radius (a)
- Sphere - Mass or Weight computes the mass or weight of a sphere based on the length of the radius (a) and the mean density.
Volume Calculators
- Volume of a Cube
- Volume of a Box
- Volume of a Cone
- Volume of a Cone Frustum
- Volume of a Cylinder
- Volume of a Slanted Cylinder
- Volume of a Triangular - 3 sided column
- Volume of a Quadrilateral - 4 sided column
- Volume of a Pentagon - 5 sided regular column
- Volume of a Hexagon - 6 sided regular column
- Volume of a Heptagon - 7 sided regular column
- Volume of a Octagon - 8 sided regular column
- Volume of a Nonagon - 9 sided regular column
- Volume of a Decagon - 10 sided regular column
- Volume of a Hendecagon - 11 sided regular column
- Volume of a Dodecagon - 12 sided regular column
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer