A cylindrical wedge is the solid cut from a cylinder by a tilted plane passing through a diameter of the base.
Apply Cavalieri’s Principle to find the volume of such a wedge if its height is 2r, where 4 is the radius of the base and the height of the cylinder is > 2r.
(Use as a comparison solid a rectangular box having edges r, r, 2r with two square pyramids removed, where the pyramids have square ends of the box as bases and common vertex at the center of the box. Stand the box on one of its square ends and place the edge so that the bounding diameter of its base is vertical.)