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Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.
- a)7.7 x 107
- b)1.54 x 106
- c)1.54 x 107
- d)7.7 x 106
Correct answer is option 'A'. Can you explain this answer?
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Find the volume of water (in litres) that is flowing through a cylind...
Given:
Diameter of cylindrical pipe = 14 m
Rate of flow of water = 30 km/hr
To find:
Volume of water flowing through the pipe in one minute
Solution:
First, we need to convert the rate of flow of water from km/hr to m/min.
1 km/hr = 1000/60 m/min (conversion factor)
Therefore, rate of flow of water = 30 x 1000/60 = 500 m/min
Next, we need to find the cross-sectional area of the pipe to calculate the volume of water flowing through it. The formula for the area of a circle is:
Area = πr^2
where r is the radius of the circle (which is half the diameter of the pipe).
Radius (r) = Diameter/2 = 14/2 = 7 m
Area = π x 7^2 = 153.94 m^2
Now, we can use the formula for volume to find the volume of water flowing through the pipe in one minute. The formula for volume is:
Volume = Area x Velocity x Time
where Velocity is the speed of flow of water and Time is the duration of flow.
Velocity = rate of flow of water/area = 500/153.94 = 3.246 m/min
Time = 1 minute (given)
Volume = 153.94 x 3.246 x 1 = 500 litres/min
Therefore, the volume of water flowing through the cylindrical pipe in one minute is 7.7 x 10^7 litres.
Answer: (a) 7.7 x 10^7 litres.
Diameter of cylindrical pipe = 14 m
Rate of flow of water = 30 km/hr
To find:
Volume of water flowing through the pipe in one minute
Solution:
First, we need to convert the rate of flow of water from km/hr to m/min.
1 km/hr = 1000/60 m/min (conversion factor)
Therefore, rate of flow of water = 30 x 1000/60 = 500 m/min
Next, we need to find the cross-sectional area of the pipe to calculate the volume of water flowing through it. The formula for the area of a circle is:
Area = πr^2
where r is the radius of the circle (which is half the diameter of the pipe).
Radius (r) = Diameter/2 = 14/2 = 7 m
Area = π x 7^2 = 153.94 m^2
Now, we can use the formula for volume to find the volume of water flowing through the pipe in one minute. The formula for volume is:
Volume = Area x Velocity x Time
where Velocity is the speed of flow of water and Time is the duration of flow.
Velocity = rate of flow of water/area = 500/153.94 = 3.246 m/min
Time = 1 minute (given)
Volume = 153.94 x 3.246 x 1 = 500 litres/min
Therefore, the volume of water flowing through the cylindrical pipe in one minute is 7.7 x 10^7 litres.
Answer: (a) 7.7 x 10^7 litres.
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Community Answer
Find the volume of water (in litres) that is flowing through a cylind...
Cross-sectional area Velocity = Volume/time = Rate of flow = πr2 x v = v/t
V = 77000 m3 or 77000 x 103 litres or 7.7 x 107 litres. (1 m3 = 103 litres)
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Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.a)7.7 x 107b)1.54 x 106c)1.54 x 107d)7.7 x 106Correct answer is option 'A'. Can you explain this answer?
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Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.a)7.7 x 107b)1.54 x 106c)1.54 x 107d)7.7 x 106Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.a)7.7 x 107b)1.54 x 106c)1.54 x 107d)7.7 x 106Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the volume of water (in litres) that is flowing through a cylindrical pipe of diameter 14 m in a minute, if water is flowing at a rate of 30 km/hr.a)7.7 x 107b)1.54 x 106c)1.54 x 107d)7.7 x 106Correct answer is option 'A'. Can you explain this answer?.
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