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The Base of S Is a Circular Region with Boundary

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The base of S is a circular region with boundary curve The base of S is a circular region with boundary curve   Cross-sections perpendicular to the x axis are isosceles right triangles with hypotenuse in the base. Find the volume of S. Cross-sections perpendicular to the x axis are isosceles right triangles with hypotenuse in the base. Find the volume of S.

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