A solid has base region in the xy-plane bounded above by y=1+sinx and below by the x-axis on the interval 0≤x≤π. For 0≤x≤π/2, cross sections perpendicular to the x-axis are squares. For π/2≤x≤π, cross sections are rectangles whose heights are one-half the lengths of their bases. Compute the exact volume of the solid.