A cylindrical tank of radius 1.4 m and height 2.1 m is filled by a pipe of internal diameter 7 cm through which water flows at 2 metres per second. How many minutes does it take to fill the tank? Take π = 22/7.

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Accepted Answer

28. Tank volume = (22/7) × 1.4² × 2.1 = 12.936 m³. Pipe radius = 0.035 m, so its cross-section = (22/7) × 0.001225 = 0.00385 m², and the flow rate = 0.00385 × 2 = 0.0077 m³ per second. Time = 12.936/0.0077 = 1680 seconds = 28 minutes.

A cylindrical tank of radius 1.4 m and height 2.1 m is filled by a pipe of internal diameter 7 cm through which water flows at 2 metres per second. How many minutes does it take to fill the tank? Take π = 22/7.

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