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A dam is constructed with the intentions of supplying a town with fresh water. The dam, which is cylindrical in shape, has a diameter of 2.8km and a depth of 10.5m3tres. After completion the dam is filled with water from a river which is 3.6 metres wide and 2.5 metres deep at the point of entry into the dam.
The speed of the current in the river is 2.4km/h.
Calculate the time to the nearest day, the time it takes to fill the dam.