Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?a)2 hrb)1 hr 40 min.c)1 hr 20 mind)4 hr 40 min.Correct answer is option 'B'. Can you explain this answer?

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Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?

a)
2 hr
b)
1 hr 40 min.
c)
1 hr 20 min
d)
4 hr 40 min.

Correct answer is option 'B'. Can you explain this answer?

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Solution:

Given:
- The water is flowing at the rate of 3 km/hr through a circular pipe.
- The internal diameter of the pipe is 20 cm.
- The circular cistern has a diameter of 10 m and a depth of 2 m.

We need to find the time taken to fill the cistern.

First, let's convert the flow rate from km/hr to m/s.
- 3 km/hr = 3000 m/3600 s = 5/6 m/s

Now, let's calculate the area of the pipe and the cistern.
- Area of the pipe = πr^2 = π(20/2)^2 = π(10)^2 = 100π cm^2
- Area of the cistern = πr^2 = π(100/2)^2 = π(50)^2 = 2500π m^2

Next, let's calculate the volume of water flowing through the pipe per second.
- Volume per second = (Area of the pipe) * (flow rate) = (100π cm^2) * (5/6 m/s) = (500/3)π cm^3/s

Now, let's convert the volume per second to volume per hour.
- Volume per hour = (Volume per second) * (3600 s/hr) = (500/3)π cm^3/s * 3600 s/hr = (60000/3)π cm^3/hr

Next, let's calculate the volume of the cistern.
- Volume of the cistern = (Area of the cistern) * (depth of the cistern) = (2500π m^2) * (2 m) = (5000π) m^3

Finally, let's calculate the time taken to fill the cistern.
- Time taken = (Volume of the cistern) / (Volume per hour) = [(5000π) m^3] / [(60000/3)π cm^3/hr]
- Simplifying, we get: Time taken = (5000 * 3) / 60000 = 250 / 12 = 20.83 hours

Since the options provided are in hours and minutes, we need to convert the decimal part of the time into minutes.
- 0.83 hours = 0.83 * 60 minutes = 49.8 minutes ≈ 50 minutes

Therefore, the cistern will be filled in approximately 20 hours and 50 minutes, which is closest to option B) 1 hour 40 minutes.

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Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?a)2 hrb)1 hr 40 min.c)1 hr 20 mind)4 hr 40 min.Correct answer is option 'B'. Can you explain this answer?

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Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?a)2 hrb)1 hr 40 min.c)1 hr 20 mind)4 hr 40 min.Correct answer is option 'B'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?a)2 hrb)1 hr 40 min.c)1 hr 20 mind)4 hr 40 min.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Water is flowing at the rate of 3 km/hr through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2m. In how much time will the cistern be filled?a)2 hrb)1 hr 40 min.c)1 hr 20 mind)4 hr 40 min.Correct answer is option 'B'. Can you explain this answer?.

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