MathematicsA farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in her field, which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/hr, in how much time will the tank be filled?

A farmer connects a pipe of internal diameter 20cm from a canal into a cylindrical tank in her field, which is 10m in diameter and 2m deep. If water flows through the pipe at the rate of 3km/hr, in how much time will the tank be filled?


  1. A
    2hr
  2. B
    5hr
  3. C
    1.67hr
  4. D
    2.30hr 

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    Solution:

    Volume of pipe = volume of tank
    πr2h=πR2H
    101002×h=52×2
    h100×50
    h=5000 m=5 km
    Hence, Option (3) is the correct answer.
     
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