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`V = pi a b ((2 c)/3 - x + x^3/(3c^2))`

Enter a value for all fields

The **Volume of an Ellipsoid Cap** calculator computes the volume of an ellipsoid cap where the semi-axes of the ellipsoid are a, b, and c, and the height of the cap is h.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**a**) semi-axis a. - (
**b**) semi-axis b. - (
**c**) semi-axis c. - (
**h**) height of the cap

**Volume of an Ellipsoid Cap (V):** The volume 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.

An ellipsoid is defined by three semi-axes. In the diagram they are labeled a, b and c.

The formula for the volume of an ellipsoid cap is as follows:

`V = π⋅a⋅b⋅((2c)/3-x+(x³)/(3c²))`

where:

- V is the volume of the ellipsoid cap
- a, b and c are the lengths of the semi-axes
- x = c - h and h is the height of the ellipsoid cap

**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.**Ellipsoid Cap - Volume**computes the volume of a section of an ellipsoid.**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.**Circular - Volume**: Computes the volume of a column with a circular top and bottom and vertical sides.**Circular - Mass:**Computes the mass/weight of circular volume based on its dimensions and mean density.**Elliptical Volume**: Computes the volume of a column with an elliptical top and bottom and vertical sides.**Elliptical - Mass**: Computes the mass/weight of an elliptical volume based on its dimensions and mean density.**Ellipse Vertical Chord from Edge (VE):**Computes the length of the vertical chord of an ellipse based on distance from the edge.**Ellipse Vertical Chord from Center (VC):**Computes the length of the vertical chord of an ellipse based on distance from the center.**Ellipse Horizontal Chord from Edge (HE):**Computes the length of the horizontal chord of an ellipse based on distance from the edge.**Ellipse Horizontal Chord from Center (HC)**: Computes the length of the vertical chord of an ellipse based on distance from the center.**Common Mean Density**: Provides a lookup function to find the mean density of hundreds of materials (woods, metals, liquids, chemicals, food items, soils, and more)