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Cylinder Surface

Although one often thinks of a gentleman's hat, a cylinder is any surface generated by dragging a curve in the 3 dimensional x, y ,z coordinate frame along the x, the y, or the z-axis.
 
In this particular example, the cylinder is generated by dragging the curve z = sin x from the xz plane along the y-axis. The equation for this cylinder is therefore z = f(x, y) = sin x.
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