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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.

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Q: How many flat surfaces has the cylinder?
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