Q. 205.0( 1 Vote )

# A farmer connect

Given: diameter of pipe = 20 cm

radius of pipe = rp = 20/2 = 10 cm = 0.1 m

Diameter of tank = 10 m

radius of cylindrical tank = rc = 10/2 = 5 m

Depth of cylindrical tank = height of cylindrical tank = h = 2 m

Rate of flow of water through pipe = 4 km/hr

1 km = 1000 m

4 km/hr = 4000 m/hr

Volume of water required to completely fill the tank is equal to the volume of cylinder

Time require to fill the tank = volume of cylindrical tank/volume of water flown through pipe per hr

volume of cylindrical tank = π × rc2 × h

= 3.14 × 25 × 2

= 157 m3

volume of water flown through pipe per hr = π × rp2 × 4000

= 3.14 × 0.12 × 4000

= 3.14 × 40

= 125.6 m3/hr

Time require to fill the tank = 157/125.6

= 1.25 hrs

Therefore, it will take 1.25 hours to fill the tank completely.

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