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A right circular cylinder with radius r and height h. A cylinder (from Greek ÎºÏÎ»Î¹Î½Î´ÏÎ¿Ï â kulindros, roller, tumbler) is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.
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 pa â¦ rallel lines.s 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 cylinder respectively; these have no flat surfaces. 7 people found this useful.