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Let R be the first quadrant region bounded by the graphs of f(x)=2x(4-x), and the x-axis. Region R is the base of a solid .

Let R be the first quadrant region bounded by the graphs of f(x)=2x(4-x), and the x-axis. Region R is the base of a solid . Cross sections perpendicular to the x axis are equilateral triangles with one side in the base. Find the volume of the solid.

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