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(a) A water hose 4.00 cm in diameter is used to fill a 25.0 L bucket. If it takes 3.00 min to fill the bucket, what is the speed v at which water moves through the hose? (Note: 1 L = 1000 cm3.)

(b) If the hose has a nozzle 2.00 cm in diameter, find the speed of the water at the nozzle.

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