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SHARYGIN 2007 Problem 21

    There are two pipes on the plane (the pipes are circular cylinders of equal size, 44 m around). Two of them are parallel and, being tangent one to another in the common generatrix, form a tunnel over the plane. The third pipe is perpendicular to two others and cuts out a chamber in the tunnel. Determine the area of the surface of this chamber.

    Dataset text AI-MO AoPS. Quoted with source.

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