A cone has no vertices, due to a vertex having to be a point where two or more straight lines meet. A cone has one circular base and one apex. As much as many books teach that a cone has one vertex, that is not true.

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how many vertices does a cone have

A cone has one base, one curved surface and one vertex, depending on the definition of "vertices". It technically has no edges.

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Faces 2 the base and the slanted side. Edges 1 separating the base and apex.Vertices-1 there is an apex which is the tip, or top of the cone

Cones do not have any edges because an edge is considered a straight line that meets with another edge. However, the very tip of the cone is considered as a vertex. So there is one vertex on a cone. You can find more information here: http://www.eduplace.com/math/mw/background/3/07/te_3_07_poly_develop2.html

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Not to be confused with Conical surfaces. For other uses, see Cone (disambiguation).
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently,...

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