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A huge conical tank is to be made from a circular piece of sheet metal of radius 10 meters, by cutting out a sector

A huge conical tank is to be made from a circular piece of sheet metal of radius 10 meters, by cutting out a sector with vertex angle 0 and then welding together the straight edges of the remaining piece (as in the figure below). Find 0 such that the resulting cone has the largest possible volume.

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