A frustum is what remains of a cone when the top is cut off by a plane parallel to the base. Suppose a right circular frustum (that is, one formed from a right circular cone) has a base with radius r, a top with radius r/2, and a height h. (See the figure below.) Find the volume of this frustum by rotating about the x-axis the region below the line segment from (0, r) to (h, r/2).

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X r 2 r h