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great circles

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Two great circles 2011-10-06
From Jean:
"Two great circles lying in planes that are perpendicular to each other are drawn on a wooden sphere of radius "a". Part of the sphere is then shaved off in such a way that each cross section of the remaining solid that is perpendicular to the common diameter of the two great circles is a square whose vertices lie on these circles. Find the volume of this solid."

I don't understand the geometry of the problem. Can you please explain the problem and if possible draw a diagram for me ?

Answered by Chris Fisher.
Great circles 2007-11-05
From Lindsay:
Does a sphere have only ONE great circle? Explain?
Answered by Stephen La Rocque.
 
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