Surface of Revolution - Best ever Maths Lecture - By Danish

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A surface of revolution is a surface in Euclidean space created by rotating a curve (the generatrix) around an axis of rotation.

Examples of surfaces of revolution generated by a straight line are cylindrical and conical surfaces depending on whether or not the line is parallel to the axis. A circle that is rotated around any diameter generates a sphere of which it is then a great circle, and if the circle is rotated around an axis that does not intersect the interior of a circle, then it generates a torus which does not intersect itself (a ring torus).
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if xy=2, rotate about y=-x from x=√2 to 2 find volume

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