There are many possible answers:
A cone
A sphere from which a slice has been removed
An ellipsoid from which a slice has been removed
A paraboloid from which a slice has been removed
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The description given fits that of a cone
Circle
The answer is - a cone.
it is a three dimensional cone , the circle is the edge of the figure and the curved side is the body of the cone, the vertex is the point of the cone
Don't know. It cannot be a cone since that has two faces: one curved (curvered?) face and one flat (circular) face. Alternatively, an infinite cone has only one curved face but then it has no edge.