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प्रश्न
How many litres of water flow out of a pipe having an area of cross-section of 5cm2 in one minute, if the speed of water in the pipe is 30 cm/ sec?
उत्तर
Given data is as follows:
Area of cross-section of the pipe = 5 cm2
Speed of water = 30 cm/sec
We have to find the volume of water that flows through the pipe in 1 minute.
Volume of water that flows through the pipe in one second = `pir^2h`
Here, `pir^2` is nothing but the cross section of the pipe and h is 30 cm.
Therefore, we have,
Volume of water that flows through the pipe in one second = 5 × 30
= 150 cm3
Volume of water that flows through the pipe in one minute = 150 × 60
= 9000 cm3
We know that 1000 cm3 = 1 liter. Therefore,
Volume of water that flows through the pipe in one minute = 9 liters
Hence, the volume of water that flows through the given pipe in 1 minute is 9 liters.
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