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Solids: Cone

Document Reference: TN201309064 - Rev: 4.2 - Last Update: 26-03-2014 21:37 GMT - Downloaded: 26-Mar-2019 12:57 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.

Cone

Enclosed Volume of a Right Circular Cone

Formula

Volume (V)=1×π×radius squared×height
3
V=1π r2 h
3

Surface Area of a Right Circular Cone

Cone Surface Area

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 )
Cone Edge

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

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