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Water flows from a pipe of sectional area 500 cm2 at the rate of 8 m/min. How long would it take to fill a tank whose dimensions are 6 m × 4 m × 4 m?  
  • a)
    6 hr
  • b)
    5 hr
  • c)
    4 hr
  • d)
    2 hr
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Water flows from a pipe of sectional area 500 cm2 at the rate of 8 m/m...
We can start by using the formula:

volume = area x height

To find the volume of the tank, we multiply its base area by its height:

volume = 6 m x 4 m x 3 m = 72 m3

Now we need to find how long it would take to fill this volume with water flowing from the pipe at a certain rate. We can use the formula:

flow rate = volume / time

Rearranging this formula to solve for time, we get:

time = volume / flow rate

Substituting the values we have:

time = 72 m3 / (8 m/min x 10000 cm2/m2) = 0.09 min

Converting this to seconds:

time = 0.09 min x 60 s/min = 5.4 s

Therefore, it would take approximately 5.4 seconds to fill the tank with water flowing from the pipe at a rate of 8 m/min.
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Community Answer
Water flows from a pipe of sectional area 500 cm2 at the rate of 8 m/m...
Let the required time be p hours.
Then, Volume of water flowing through pipe in p hours = Volume of the cistern
⇒ 500 × 10-4 × 8 × 60 × p = 6 × 4 × 4
⇒ p = 4
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