# Solids: Cone

Document Reference: TN201309064 - Rev: 4.2 - Last Update: 26-03-2014 21:37 GMT - Downloaded: 07-Jun-2023 13:30 GMT

## A right circular cone is a cone that has its vertex directly aligned above the centre of its circular base.

The line from the vertex to the centre of the circular base is perpendicular to this base.

### Enclosed Volume of a Right Circular Cone

#### Formula

Volume (V) | = | 1 | × | π | × | radius squared | × | height |

3 |

### Surface Area of a Right Circular Cone

A cone has one flat circular surface area (base) and one curved surface area.

#### Flat Circular Surface Area Formula

Flat Circular Surface Area (A_{1}) | = | π | × | radius squared |

#### Curved Surface Area Formula

Curved Surface Area (A_{2}) | = | π | × | radius | × | lateral height |

#### Total Surface Area Formula

Total Surface Area (A) | = | A_{1} + A_{2} |

or

### Edge of a Right Circular Cone

A right circular cone has one single edge that equals the circumference of the flat circular surface area.

#### Formula

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