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Water flows through a cylindrical pipe of internal diameter 7 cm at 36 km/hr. Calculate the time in minutes it would take to fill cylindrical tank, the radius of whose base is 35 cm and heights is 1 m.

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Radius of pipe = 7/2 cm

Rate of water flow = 36 km/h

= 36 × 5/18 m/s

= 10 m/s

= 10 × 100 cm/s

= 1000 cm/s

∴ Volume of water flowing in 1 second = πr2h

= π.7/2.7/2.1000 cm3

= π.7.7.250 cm3      …..(1)

Radius of tank (R) = 35 cm

Height of tank (H) = 1 m = 100 cm

∴ Volume of tank = πr2H

= π.35.35.100 cm3     …(2)

∴ Time taken to fill the tank = Volume of tank/Volume of water flowing in 1 second

= π × 35 × 35 × 100/π × 7 × 7 × 250 seconds

= 10 seconds     

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