Question: Let S be the solid with base given by the triangle in the xy-plane with vertices (0; 0); (1; 0); (0; 3) and whose vertical

Let S be the solid with base given by the triangle in the xy-plane with vertices (0; 0); (1; 0); (0; 3) and whose vertical cross-sections parallel to the x-axis are given by half-disks whose diameter lies in the xy-plane. Find the volume of S.

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