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1. Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank. the depth of the water is 7 feet. The radius of the tank is 100 feet. Which of the following is the best approximation for the rate at which the water was poured into the tank ?

A. 140 cubic feet/sec

B. 440 cubic feet/sec

C. 700 cubic feet/sec

D. 2200 cubic feet/sec

Solution:

Volume of water flown into the tank in 5 min :

\begin{aligned} = (\frac{22}{7} \times 100 \times 100 \times 7) cu .feet \\ = 220000 cu .feet \end{aligned}

∴ Rate of flow of water :

\begin{aligned} = (\frac{220000}{5 \times 60}) cu .feet/sec \\ = 733.3 \approx 700 cu .feet/sec \end{aligned}

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