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Calculate the volume of the solid created when the semi-circular flag at right is rotated about the pole. Describe the rotated solid.

This flag will look like a sphere with a cylindrical hole removed from its center.

Use the Pythagorean Theorem to compute the radius of the sphere.

Horizontal segment, with diameter of semicircle on the right 3 fourths of the segment, rectangle inscribed in semicircle, top edge labeled 8, right edge labeled 6, regions outside of rectangle, but inside semicircle are shaded.