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SPHERES & ELLIPSOIDS |
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The sphere is the most symmetric surface in space. All its points are equidistant from the centre, all of its diameters are axes of symmetry, and all of the planes that pass through its centre are planes of symmetry. The sphere is produced by rotating a circle around any of its diameters. Its volume is 4pR3/3 and its area is 4pR2. It is a special case of an ellipsoid, with the reduced equation
surface with all the elliptical plane sections. |
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If a sphere and an ellipsoid have a common circumference, what can we say about the ellipsoid? |
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Solution | |
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