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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.
When a vertical strip is rotated about the y-axis it generates a cylindrical shell of thickness Îx and volume Î´V. This cylindrical shell is the difference between an outer cylinder of radius x + Îx and an inner cylinder of radius Îx. Both cylinders have height infinitely close to f(x). Thus compared to Îx,