One curved surface (two if it is hollow) and no edges.
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A cone has either one or two surfaces and either one or no edges.
Sphere, ellipsoid, torus, paraboloid, hyperboloid are shapes with only curved surfaces. Hemisphere, quadrant, cone and cylinder are examples of shapes with curved and plane surfaces. There are, of course, many others.
There is no edge in a SPHERE
A sphere has 0 edge.
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