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A three dimensional plot with axes labeled \(x\text{,}\) \(y\text{,}\) and \(z\text{.}\) The half sphere of radius 1 centered at the origin with positive y-coordinate is shown in gray. The half sphere of radius 2 centered at the origin with positive y-coordinate is shown in yellow. The portion of the annular region between the spheres and on the xz-plane with positive x coordinate is shown in green. The portion of the annular region between the spheres and on the xz-plane with negative x coordinate is shown in red.