Water is flowing at the rate of $3$ km/hr through a circular pipe of $20$ cm internal diameter into a circular vessel of diameter 10m and depth 2m. In how much time will the vessel be filled.

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Solution

Speed of flow in circular vessel be $x$
$A_{1} v_{1} = A_{2} v_{2} ⟹ 3 \times (0.2)^{2} = x \times (10)^{2} ⟹ x = 12 \times 10^{- 4}$ km/hr $= \frac{12 \times 5}{18} \times 10^{- 4}$ m/s
time $= \frac{2 \times 18}{12 \times 5 \times 10^{- 4}} = 6000$ s $= 100$ hr

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Water is flowing at the rate of 3km/hr through a circular pipe of 20cm internal diameter into a circular vessel of diameter 10m and depth 2m. In how much time will the vessel be filled.

Speed of flow in circular vessel be xA1v1=A2v2⟹3×(0.2)2=x×(10)2⟹x=12×10−4km/hr=12×518×10−4m/stime =2×1812×5×10−4=6000 s=100hr

Water is flowing at the rate of $3$ km/hr through a circular pipe of $20$ cm internal diameter into a circular vessel of diameter 10m and depth 2m. In how much time will the vessel be filled.

Speed of flow in circular vessel be $x$
$A_{1} v_{1} = A_{2} v_{2} ⟹ 3 \times (0.2)^{2} = x \times (10)^{2} ⟹ x = 12 \times 10^{- 4}$ km/hr $= \frac{12 \times 5}{18} \times 10^{- 4}$ m/s
time $= \frac{2 \times 18}{12 \times 5 \times 10^{- 4}} = 6000$ s $= 100$ hr