A cone is a pyramid in its limit - when the base has infinitely many vertices.
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A pyramid and a cone are alike because they are both are like in the same shape.
A cone ?
Start with a regular tetrahedron (triangular based pyramid). As you increase the number of sides in the base of the pyramid, the shape becomes more and more like a right cone. In the limit, the base tends to a polygon with an infinite number of sides - a circle, and the pyramid tends to a right cone.
A cone has 1 face a pyramid has 4 faces.
the are flat on the bottom and tappered at the top