Mathematics
The area of cross-section of a rectangular pipe is 5.4 cm2 and water is pumped out of it at the rate of 27 kmph. Find, in litres, the volume of water which flows out of the pipe in 1 minute.
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Answer
Given,
Area of cross-section of rectangular pipe = 5.4 cm2.
Speed of water = 27 km/hr = 2700000 cm/hr
1 hr = 60 minutes
∴ Speed of water = = 45000 cm/min.
Calculating the distance traveled by water in 1 minute,
Distance = Speed × time
= 45000 × 1 = 45000 cm.
Calculating the volume of water,
Volume of water which flows out of pipe in 1 min = Area of cross-section × Distance traveled by water in 1 min
= 5.4 × 45000
= 243000 cm3.
1000 cm3 = 1 litre
∴ 243000 cm3 = liters = 243 litres.
Hence, 243 litres of water flows out of the pipe in 1 minute.
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