Question

1603
Water flows through a cylindrical pipe of internal diameter 7 cm at the raye of 5 m/s. The time, in minutes, the pipe would take to fill an empty rectangular tank 4 m,3 m, 2.31 m is???​

Answer 1

Step-by-step explanation:

In one sec. length of water flow in pipe = 5 m

radius = 7/2 = 3.5 cm = 0.0035 m

volume of water flow per sec = π r² h = π(0.0035)² ×5

                                               =192.5× 10^(-6) m³

volume of water discharged per min = 192.5× 10^(-6) m³×60

                                                                = 11.55×10^(-3) m³

                                                                = 0.01155 m³

                                                                =11.55 Liter

volume of tank = 4×3×2.31 = 27.72 m³

∵1m³ = 1000 Liter 

volume of tank = 27720 Liter

time to fill the tank = 27720/11.55 = 2400 minutes

                                                          = 2400/60 = 40 hours

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