A cone is a 3D object having a flat circular base with a tapering circular body meeting at its vertex and its looks like a witch's hat.
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It isn't a cone at all, technically or otherwise, by definition. A cone has a circular base; a pyramid, a polygonal one. In fact I think it's strictly only a pyramid if it has a quadrilateral base - anything else being a "~hedron" where the "~" part describes the number of faces, such as the Tetrahedron (4 triangular faces).
Those are known as conic section, and they are described by equations of degree 2.
cone
cone
a cone has circle at bottom