Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3π in^3. One day, his sink clogged. He had to use a cylindrical cup to scoop the water out of the sink. The sink is completely full when Anthony starts scooping. The cup is a cylinder and has a diameter of 4 inches and a height of 8 inches.

How many cups of water must Anthony scoop out of the sink in order to empty it.
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