Maths-
General
Easy

Question

Water flows through a cylindrical pipe of 7 cm internal diameter at 5 meters per second. Calculate the
i) volume in litres of water discharged by the pipe in one minute and
ii) the time in minutes, the pipe would take to fill an empty rectangular tank of dimensions 4m x 3m x 2.31m

hintHint:

First, we find out the internal volume of the pipe, through which the water would pass. Secondly, we calculate the volume of water discharged in one minute by multiplying 60, since 1min = 60sec. Lastly, we find the capacity of tank by calculating its volume and find the required time.

The correct answer is: i) The required volume is 1155 L


    Explanations:
    Step 1 of 3:
    With respect to water flow in 1second, the length of the pipe is 5m = 500cm (= h).
    Given,  r  = 7/2cm (internal radius)
    Volume of internal side of the pipe = pi open parentheses 7 over 2 close parentheses squared cross times 500 equals 19250 cm3= 19.25 L (since 1L = 1000cm3)
    So, volume of water of water flows through the pipe in 1 second is 19.25 L.
    Step 2 of 3:
    Volume of water discharged by the pipe in one minute
    equals 19.25 cross times 60  = 1155 L
    Step 3 of 3:
    Capacity of the rectangular rank = 4 cross times 3 cross times 2.31 = 27.72 L
    The time required = 1 over 1155 cross times 27.72  mins = 1.44 secs
    Final Answer:
      text  i)  end text          The required volume is 1155 L
            

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