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The diameter of a sphere joins __________. . . A. any two points on the sphere. . B.the center and a point on the sphere. C. any two points on the sphere and contains the center. . D. any two points on the sphere and does not contain the center

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User Shudder
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The diameter of the sphere is somehow the same to the diameter of the circle as both of the diameters connect points in the figure while allowing the line segment to pass through their centers. Thus, the answer to this item is letter C. 
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User Andrey  Smorodov
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