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A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?
- a)60 minutes
- b)80 minutes
- c)100 minutes
- d)120 minutes
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A cylindrical vessel of volume 300 litres has pipes A, B, C and D that...
1/4th of the volume of the tank = 75 litres For the first 75 litres all pipes are functional.
[Here, 10 = 4 + 3 + 2 + 1]
For the next 75 litres, pipes B, C and D are functional.
For the next 75 litres, pipes B, C and D are functional.
For the third 75 litres, pipes C and D are functional.
For the remaining 75 litres, only pipe D is functional.
The total time taken by the pipes to empty the tank = 7.5 + 12.5 + 25 + 75
= 120 minutes. Hence, option 4.
= 120 minutes. Hence, option 4.
Most Upvoted Answer
A cylindrical vessel of volume 300 litres has pipes A, B, C and D that...
Let's break down the problem step by step:
1. Calculating the volume of the cylindrical vessel:
The volume of the cylindrical vessel is given as 300 liters. Since 1 liter is equal to 1000 cubic centimeters (cc), the volume can be converted to cubic centimeters by multiplying it by 1000.
300 liters = 300,000 cc.
2. Calculating the cross-sectional area of the cylindrical vessel:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the cylinder and h is the height. We are given the height as 4 meters, but we need to find the radius of the cylinder.
The cross-sectional area of the cylinder is given by the formula A = πr^2. We can rearrange this formula to solve for r: r = √(A/π).
The cross-sectional area can be calculated by dividing the volume by the height: A = V/h = 300,000 cc / 400 cm = 750 cc.
Substituting the value of A into the formula for r: r = √(750/π) ≈ 15.28 cm.
3. Calculating the time taken to empty the cylinder:
The pipes A, B, C, and D empty the cylinder at rates of 4 liters/minute, 3 liters/minute, 2 liters/minute, and 1 liter/minute, respectively.
Since the volume of the cylinder is 300 liters, the total time taken to empty the cylinder can be calculated by dividing the volume by the sum of the rates of all the pipes.
Total time = Volume / (Rate of A + Rate of B + Rate of C + Rate of D)
= 300 liters / (4 liters/minute + 3 liters/minute + 2 liters/minute + 1 liter/minute)
= 300 / 10
= 30 minutes.
So, the correct answer is option D) 120 minutes.
1. Calculating the volume of the cylindrical vessel:
The volume of the cylindrical vessel is given as 300 liters. Since 1 liter is equal to 1000 cubic centimeters (cc), the volume can be converted to cubic centimeters by multiplying it by 1000.
300 liters = 300,000 cc.
2. Calculating the cross-sectional area of the cylindrical vessel:
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the cylinder and h is the height. We are given the height as 4 meters, but we need to find the radius of the cylinder.
The cross-sectional area of the cylinder is given by the formula A = πr^2. We can rearrange this formula to solve for r: r = √(A/π).
The cross-sectional area can be calculated by dividing the volume by the height: A = V/h = 300,000 cc / 400 cm = 750 cc.
Substituting the value of A into the formula for r: r = √(750/π) ≈ 15.28 cm.
3. Calculating the time taken to empty the cylinder:
The pipes A, B, C, and D empty the cylinder at rates of 4 liters/minute, 3 liters/minute, 2 liters/minute, and 1 liter/minute, respectively.
Since the volume of the cylinder is 300 liters, the total time taken to empty the cylinder can be calculated by dividing the volume by the sum of the rates of all the pipes.
Total time = Volume / (Rate of A + Rate of B + Rate of C + Rate of D)
= 300 liters / (4 liters/minute + 3 liters/minute + 2 liters/minute + 1 liter/minute)
= 300 / 10
= 30 minutes.
So, the correct answer is option D) 120 minutes.
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A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer?
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A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. 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 A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer?.
A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. 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 A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer?.
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A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A cylindrical vessel of volume 300 litres has pipes A, B, C and D that empty the vessel at the rate of 4 litres, 3 litres, 2 litres and 1 litre per minute, respectively. The vessel is four meters high. Pipes A, B, C and D are located, respectively, at a height of 3, 2, 1 and 0 meters. How much time will these pipes take to empty the cylinder?a)60 minutesb)80 minutesc)100 minutesd)120 minutesCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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