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# Sphere - Volume

Variable | Instructions | Datatype |
---|---|---|

`(r) "radius"` | Enter the radius that defines the sphere | Decimal (Length) |

vCalc.Sphere - Volume

The **Volume of a Sphere** equation, `V = 4/3 pi r^3`, computes the volume of a sphere of radius r. * Geometric Sphere* **INSTRUCTIONS:** Choose your length units (e.g. feet or meters) and enter the following:

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

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

To compute the Surface Area of a Sphere, CLICK HERE. To compute the Mass or Weight of a Sphere based on its volume and mean density, CLICK HERE.

### 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:

V = ^{4}/_{3} π r^{3}

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)

V = ^{4}/_{3} π a b c

One can see that they are algebraically the same.

### Related Calculators

The following table contains links to calculators that compute the volume of other shapes:

**Sphere - Volume**, is used in 5 calculators and 3 equations/constants.

**Calculators**

**Equations and Constants **

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