A cylindrical water tank of diameter 1.4m and height 2.1m is being fed by a pipe of diameter 3.5cm through which water flows at the rate of 2m per second. In how much time will the tank be filled?
ANSWER:
Consider the tank to be filled in x minutes
We know that
The volume of water that flows through the pipe in x minutes = Volume of tank
By substituting the values
Π × (3.5/ (2 × 100)) 2 × (2 × 60x) = Π × (0.7)2 × 2.1
On further calculation
0.115395x = 3.23106
So we get
x = 28
Therefore, the tank will be filled in 28 minutes.
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