Solids: Right Circular Cone - Maths [TN201309064]

Solids: Cone

Document Reference: TN201309064 - Rev: 4.2 - Last Update: 26-03-2014 21:37 GMT - Downloaded: 06-Jun-2023 07:04 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.

Volume (V)	=	1	×	π	×	radius squared	×	height
		3

V	=	1	π r² h
		3

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

Flat Circular Surface Area (A₁)

radius squared

A₁

π r²

Curved Surface Area (A₂)

radius

lateral height

A₂

π r l

Total Surface Area (A)

A₁ + A₂

π r² + π r l

π r ( r + l )

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

Edge

2 × π × radius

Edge

2 π r