define cone (math)

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, circular base to a point called the apex or vertex. It is formed by connecting all the points on the base to a common point. The base can be any shape, such as a circle, triangle, or rectangle. The volume of a cone is given by V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. The surface area of a cone is given by A = πr(r + l), where l is the slant height of the cone.