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A cone is a solid that has a circular base and a a single vertex. If the vertex is over the center of the base, it is called a right cone. If it is not, it is called an oblique cone. The slant height is the distance from the vertex of the cone, down the side, to a point on the circumference of the base.
However, if any line segment falls outside the shape or set, then it is regarded to be non-convex. A solid cube is an example of convex, whereas a crescent shape is non-convex (concave). The concept of convex and non-convex has also been extended to functions and variables to solve the related problems.