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Find the approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.
- a)222 minutes 20 seconds
- b)204 minutes 48 seconds
- c)200 minutes 10 seconds
- d)188 minutes 40 seconds
Correct answer is option 'B'. Can you explain this answer?
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Find the approximate time taken to fill a chemical conical vessel, if ...
To find the time taken to fill the conical vessel, we need to calculate the volume of the vessel and divide it by the flow rate.
Step 1: Calculate the volume of the conical vessel
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.
Given:
Diameter of the conical vessel = 80 meters
Radius (r) = Diameter/2 = 80/2 = 40 meters
Height (h) = 48 meters
Using the formula, we can calculate the volume of the conical vessel:
V = (1/3) * π * 40^2 * 48
V ≈ 241,194.9 cubic meters
Step 2: Calculate the time taken to fill the vessel
Given:
Flow rate = 20 meters per minute
To find the time taken to fill the vessel, we divide the volume of the vessel by the flow rate:
Time = Volume / Flow rate
Time = 241,194.9 / 20
Time ≈ 12,059.745 minutes
Since we need to express the time in minutes and seconds, let's convert 12,059.745 minutes into minutes and seconds.
1 minute = 60 seconds
So, 12,059.745 minutes = 12,059 minutes + 0.745 minutes
To convert 0.745 minutes into seconds:
0.745 minutes * 60 seconds/minute ≈ 44.7 seconds
Therefore, the approximate time taken to fill the conical vessel is 12,059 minutes and 44.7 seconds, which can be rounded off to 12,059 minutes and 45 seconds.
Answer: Option B) 204 minutes 48 seconds
Step 1: Calculate the volume of the conical vessel
The volume of a cone is given by the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.
Given:
Diameter of the conical vessel = 80 meters
Radius (r) = Diameter/2 = 80/2 = 40 meters
Height (h) = 48 meters
Using the formula, we can calculate the volume of the conical vessel:
V = (1/3) * π * 40^2 * 48
V ≈ 241,194.9 cubic meters
Step 2: Calculate the time taken to fill the vessel
Given:
Flow rate = 20 meters per minute
To find the time taken to fill the vessel, we divide the volume of the vessel by the flow rate:
Time = Volume / Flow rate
Time = 241,194.9 / 20
Time ≈ 12,059.745 minutes
Since we need to express the time in minutes and seconds, let's convert 12,059.745 minutes into minutes and seconds.
1 minute = 60 seconds
So, 12,059.745 minutes = 12,059 minutes + 0.745 minutes
To convert 0.745 minutes into seconds:
0.745 minutes * 60 seconds/minute ≈ 44.7 seconds
Therefore, the approximate time taken to fill the conical vessel is 12,059 minutes and 44.7 seconds, which can be rounded off to 12,059 minutes and 45 seconds.
Answer: Option B) 204 minutes 48 seconds
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Find the approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. Can you explain this answer?
Question Description
Find the approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. 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 approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. 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 approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. Can you explain this answer?.
Find the approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. 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 approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. 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 approximate time taken to fill a chemical conical vessel, if the flow rate is 20 meters per minute from a cylindrical pipe whose diameter is 5 meters. Take diameter and depth of the conical vessel as 80 meters and 48 meters, respectively.a)222 minutes 20 secondsb)204 minutes 48 secondsc)200 minutes 10 secondsd)188 minutes 40 secondsCorrect answer is option 'B'. Can you explain this answer?.
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