Cone
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Right Circular Cone
A cone is a surface generated by all lines passing through a given point (the vertex) and passing through a curve in a plane (the directrix). More commonly, a cone includes the solid enclosed by a cone and the plane of the directrix. The region of the plane enclosed by the directrix is called a base of the cone. The perpendicular distance from the vertex to the plane of the base is the height of the cone.
In case of right circular cone, the axis is perpendicular to the base. (If the axis of a circular  cone is not perpendicular to the base, it is termed as an oblique circular cone.) The length of any line segment connecting the vertex to the directrix is called the slant height of the cone.

 Area of Base: BHeight: hRadius of base: rSlant height: s Lateral surface area: S Total surface area: TVolume: V B = r2 s = (r2+h2) S =   rs T = r(r+s) V = r2h/3
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Frustum of a cone
The part of a right circular cone between the base and a plane parallel to the base, whose distance from the base is less than the height of the cone.

 Height: h Radius of bases: r, R Slant height: sLateral surface area: S Total surface area: T Volume: V S = ([R-r]2+h2) S = (r+R)sT = (r[r+s]+R[R+s]) V = (R2+rR+r2)h/3
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