Two planes cut a right circular cylinder to form a wedge. One plane is perpendicular to the axis of the cylinder and the second makes an angle of degrees with the first (see figure).

(a) Find the volume of the wedge if θ = 45°.

(b) Find the volume of the wedge for an arbitrary angle θ.Assuming that the cylinder has sufficient length, how does the volume of the wedge change as θ increases from 0° to 90°?

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