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California State Polytechnic University, Pomona

# A wedge is cut out of a circular cylinder of radius 4 by twoplanes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of $30^{\circ}$ along adiameter of the cylinder. Find the volume of the wedge.

## $$\frac{128}{3 \sqrt{3}}$$

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