Cones are solid figures composed of a circular base with a fixed point (the vertex) outside its plane of origin. They are connected by line segments extending out from this vertex and to all points along its circumferential boundary to form its curved surface. A cone is a three dimensional figure that can be thought of as being made from circular planes of constantly decreasing radius stacked on top of each other. One of the most common figures studied in geometry is a cone . A cone is a three dimensional figure that has a circular base and a pointed tip called apex . Learn about its definition, formulas, types with some solved examples. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base. In the case of line segments, the cone does not extend beyond the base, while in the case of half-lines, it extends infinitely far.