Document Reference: TN201309069 - Rev: 4.12 - Last Update: 26-03-2014 11:50 GMT - Downloaded: 02-Oct-2023 06:17 GMT

## A sphere is perfectly round, composed with set of points that are all the same distance from the centre of the sphere. A ball is an example of a sphere.

The volume of a sphere is 2/3 that of a circumscribed cylinder (Archimedes).

### Enclosed Volume of a Sphere

#### Formula

Volume (V) | = | 4 | × | π | × | radius cubed |

3 |

V | = | 4 | π r^{3} |

3 |

The radius `r`

is the radius of the cross section of the sphere.

### Surface Area of a Sphere

A sphere has only one single curved surface area (face). A sphere has no edges.

#### Formula

Surface Area (A) | = | 4 | × | π | × | radius squared |

A | = | 4 π r^{2} |