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Water flows through circular pipe of crossection area 6.16cm² at uniform speed of 10cm/sec.At 6.00am,water starts flowing through into empty rectangular tank of base area 3m². If the tank is 1.2m high and has a hole at the bottom which water leaks at rate of 11.6cm³ per second, determine time at which tank will be filled. In this problem,I have gotten the depth of water in the tank as 18.48cm.How can I proceed from here.please help

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HINT

  • determine the net flow in the tank $Q=Q_{in}-Q_{out}$
  • calculate the volume $V$ of the tank
  • then time $t=\frac{V}{Q}$