A cone is a three-dimensional geometric figure with a flat circular base and a pointed apex . It is formed by stacking a series of circles with decreasing radius, resulting in a tapered shape. Common examples of cones include ice cream cones, birthday hats, and traffic cones. A cone is a 3D shape with a flat circular base and a curved surface that forms a sharp point at the top called vertex. Learn the definition, parts, formulas, & more. Learn the shape of a cone and how to find its surface area, volume, height, slant height, and radius with formulas, solved examples, and diagrams 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.