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A single stage centrifugal pump with impeller diameter of 30 cm rotates at 2000 rpm and lifts 3 m^3 of water per second to a height of 30 m width an efficiency of 75%.

Find the number of stages and diameter of each impeller of a similar multistage pump to lift 5 m3 of water per second to a height of 200 m when rotating at 1500 rpm.

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