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That can be an ellipse, circle, parabola, or hyperbola. It depends on the angle between the plane and the axis or surface of the cone.
A solid figure with 2 flat surfaces and 0 vertices is a cylinder. A cylinder has two circular flat surfaces, known as bases, and no vertices because it does not have any corners or points where edges meet. It is a three-dimensional shape that is formed by a curved surface connecting the two bases.
A riddle is: I am a polyhedron I have two surfaces one of my surfaces is formed by a circle the other face is curved what am I?
A Cone.
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