(Solved): Let the region R be the area enclosed by the function f(x)=x2, the horizontal line y=1 and the ...

Let the region $$\mathrm{R}$$ be the area enclosed by the function $$f(x)=x^2$$, the horizontal line $$y=?1$$ and the vertical lines $$x=0$$ and $$x=3$$. If the region $$\mathrm{R}$$ 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 $$\mathrm{R}$$, find the volume of the solid. You may use a calculator and round to the nearest thousandth.