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Mathematics

Water is discharged from a pipe of cross-section area 3.2 cm2 at the speed of 5m/s. Calculate the volume of water discharged :

(i) in cm3 per sec.

(ii) in litres per minute.

Mensuration

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Answer

(i) Cross-sectional area = 3.2 cm2

Speed of water = 5 m/s = 500 cm/s

Volume of water discharged per second = Cross-sectional area x Speed

= 3.2 x 500

= 1,600

Hence, the volume of water discharged per second is 1600 cm3.

(ii) Volume of water discharged per min = 1600 x 60

= 96,000 cm3

= 96,0001,000\dfrac{96,000}{1,000} = 96 litres

Hence, the volume of water discharged per minute is 96 litres.

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