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Surface of revolution


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Example Surface of Revolution


Find the area of the surface of a sphere of radius a. The hemisphere is a surface of revolution, obtained by revolving x2 + y2 = a2 about the x-axis between 0 and a. [Diagram goes here - download the original to see it.] The surface area of a sphere is twice the area of the hemisphere. Surface of hemisphere = Surface of Revolution [Diagram goes here - download the original to see it.] [Diagram goes here - download the original to see it.] Therefore [Diagram goes here - download the original to see it.] Area of surface of a sphere = [Diagram goes here - download the original to see it.]
Contents of
Surface of revolution

1 Surface of Revolution
2 Example Surface of Revolution

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