Cylinder
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2 flat and 1 curved
2
Yes, the top and the bottom.
A paper cup typically has three flat surfaces: the bottom, which is circular, and the two sides which are usually straight and flat. These surfaces are necessary for the cup to hold its shape and be able to stand upright.
A cylinder has 2 flat surfaces and 1 curved surface.In differential geometry, a cylinder is defined more broadly as any ruled surface spanned by a one-parameter family of parallel lines. As such it can have any number of flat surfaces but need not have any at all. A cylinder whose cross section is an ellipse, parabola, or hyperbola is called an elliptic cylinder, parabolic cylinder, or hyperbolic cylinderrespectively; these have no flat surfaces.