Question

2. 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 m x 3 m x 2.31 m.​

Answer 1

Answer:

i)1.154 m3 or 1154 litre.

ii)24 minutes.

Step-by-step explanation:

water travels distance 5*60=300 m per minute.tjis distance multiplied by area of cylinder gives volume of water discharged in one minute. that is 300*(.035)^2*3.14=1.154m3.for water,1m3=1000litre. so 1154 litre of water.

2. total volume of tank=4x3x2.31=27.72m3.

vol of water filled per minute=1.154m3.

so time taken to fill the tank=27.72/1.154=24 minutes.

Answer 2

Given,

Speed of water flow through cylindrical pipe = 5 m/sec.

Internal diameter of the pipe = 7 cm

So, radius (r) = 7/2 cm

Now, length of water flow in 1 minutes (h) = 5 × 60 = 300 m

∴ Volume of water = πr²h

= 22/7 x 7/2 x 7/2 x 300 x 100 cm³

= 1155000 cm³ = 1155 litres

(i) the volume of water = 1155000 cm³

Volume of rectangular tank of size = 4m × 3m × 2.31m

= 27.72 m³

Also given, speed of water = 4 m/sec.

Radius of pipe = 7/2 cm

Volume of water in 1 sec = 22/7 x 7/2 x 7/2 x 5 x 100 cm³

= 19250 cm³

Hence,

(ii) Time taken to empty the tank = 27.72 m³/ 19250

= (2772 x 100 x 100 x 100)/(100 x 19250) sec

= 1440 sec

= 1440/60 = 24 minutes

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