# Solids: Cone

Document Reference: TN201309064 - Rev: 4.2 - Last Update: 26-03-2014 21:37 GMT - Downloaded: 24-Apr-2024 18:15 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
 V = 1 π r2 h 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 (A1) = π × radius squared
 A1 = π r2

#### Curved Surface Area Formula

 Curved Surface Area (A2) = π × radius × lateral height
 A2 = π r l

#### Total Surface Area Formula

 Total Surface Area (A) = A1 + A2
 A = A1 + A2
 A = π r2 + π r l

or

 A = π r ( r + l )

### 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

 Edge = 2 × π × radius
 Edge = 2 π r

This website uses cookies to give you the best experience on our website, to personalise content and to analyse our website traffic. Some cookies may have been set already. To find out more about our use of cookies you can visit our Privacy Statement. By browsing this website, you agree to our use of cookies.

Hide this message