Water is flowing at the rate of 2.52 kmph through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm . If the increase in the level of water in the tank, in half an hour is 3.15 m , find the internal diameter of the pipe.

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Water is flowing at the rate of $2.52 kmph$ through a cylindrical pipe into a cylindrical tank, the radius of whose base is $40 cm$ . If the increase in the level of water in the tank, in half an hour is $3.15 m$ , find the internal diameter of the pipe.

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4 cm

5 cm

9 cm

1 cm

answer is A.

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Detailed Solution

Given that, flow rate of water is 2.52kmph, base radius of cylindrical tank is 50cm.
Water level increase is 3.15m in half an hour.
Volume of cylinder,