Let the region R be the area enclosed by the function f (x) = x³, the horizontal line y = -1 and the vertical lines x = 0 and x = 2. If the region R is the base of a solid such that each cross section perpendicular to the x-axis is a semi-circle with diameters extending through the region R, find the volume of the solid. You may use a calculator and round to the nearest thousandth. 14 13 12

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