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# Sphere - Volume

vCalc.Sphere - Volume

The **Volume of a Sphere** calculator computes the volume of a sphere (V) based on the radius of the sphere (r).

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

- (
**r**) the radius of the sphere.

**Sphere Volume (V)**: The Volume of the Sphere (**v**) is returned in cubic meters. However, this can be automatically converted to numerous other volume units (e.g. cubic feet, gallons and barrels) via the pull-down menu.

#### The Math / Science

The formula for the volume of a sphere is:

V = ^{4}/_{3}•π•r³

where:

- V is the volume of a sphere
- r is the radius of the sphere

**Related Calculators:**

- Compute the Volume of a Sphere
- Compute the Surface Area of a Sphere
- Compute the Mass or Weight of a Sphere
- Compute the Radius of a Sphere from the Volume
- Compute the Radius of a Sphere from the Surface Area
- Compute the Surface Area of a Sphere from the Volume of a Sphere
- Compute the Volume of a Sphere from the Surface Area
- Compute the Volume of a Sphere Segment
- Compute the mass or weight of a Sphere Segment

### References

- Light and Matter(Dr. Benjamin Crowell) Chapter 1.2 Scaling of Area and Volume

### The Math

The equation for the volume of a sphere is as follows:

The volume of a sphere is a special case of the Volume of an Ellipsoid (CLICK HERE) where the three semi-axes (a, b, c) are all the same and equal to the radius (r)

One can see that they are algebraically the same.

### Related Calculators

**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

**Sphere - Volume**, is used in 6 calculators and 3 equations/constants.

**Calculators**

**Equations and Constants **

**Sphere - Volume**, is listed in 2 Collections.