Question

Water flows through a cylindrical pipe of internal diameter 7 cm at 5 m per sec.
Calculate
(i) the volume in litres of water discharged by the pipe in one minute.
(ii) the time in minutes, the pipe would take to fill an empty rectangular tank of size
4 mx 3 m x 2.31 m.
Please answer fast
​

Answer 1

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

Radius =

2

7

=3.5cm=0.00355m

Volume of water flow per sec =πr

2

h=π(0.0035)

2

×5

=192.5×10

−6

m

3

Volume of water discharged per minute =192.5×10

−6

m

3

×60

=11.55×10

−3

m

3

=0.01155m

3

=11.55litre

Volume of tank =4×3×2.31=27.72m

3

∵1m

3

=1000litre

Volume of tank =27720litre

Time to fill the tank =

11.55

27720

=2400minutes

=

60

2400

=40hours

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