Mathematics

The area of cross-section of a pipe is 10.4 cm² and water is running through it at the rate of 54 km/h. If the pipe is always 60% full, find the volume of water, in litres, that flows through the pipe in 5 minutes.

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The area of cross-section of a pipe = 10.4 cm²

Speed of water flow = 54 km/h

= $\dfrac{54 \times 100000}{60}$ cm/min

= 90000 cm/min

Since the pipe is 60% full, the effective velocity of water is = $\dfrac{60}{100}$ x 90000 cm/min

= 54000 cm/min

Volume per minute = Cross-sectional area x Effective speed

= 10.4 x 54000 cm³/ min

= 561600 cm³/ min

Volume in 5 min = 561600 x 5

= 2808000 cm³

= $\dfrac{2808000}{1000}$

= 2808 litre

Hence, the volume of water that flows through the pipe in 5 minutes = 2808 litre.

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