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No, a cone is not a tetrahedron. A cone is a three-dimensional geometric shape with a circular base and a pointed vertex. A tetrahedron, on the other hand, is a four-sided polyhedron with triangular faces.
No, a cone is not a Platonic solid. The Platonic solids are the five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
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.
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).
Well, a tetrahedron has four sides. A regular tetrahedron is a triangular pyramid.
A tetrahedron must be plane faced and so, it is just an ordinary tetrahedron.