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A cone is represented in Cartesian coordinates by the equation
The shape called "cone" in more colloquial usage is half of a mathematical cone, being divided at the apex; or less than half if it is cut off at some distance from the apex. Common coneshaped objects are an icecream cone (with the point down); plastic traffic cones on roads for temporarily guiding traffic (with the point up); and pine cones (spindleshaped seed pods).
A cone with its apex cut off by a plane parallel to its base is called a conical frustum.
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