Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2006 · Marks: · Difficulty:
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
Answer
Answer (as printed): C
Explanation
Volume of water flown into the tank in 5 min. $=\left(\frac{22}{7} \times 100 \times 100 \times 7\right)$ cu. feet $=2220000$ cu. feet. ∴ Rate of flow of water $=\left(\frac{220000}{5 \times 60}\right) \mathrm{cu} . \mathrm{ft} / \mathrm{sec}=733.3 \mathrm{cu}$. $\mathrm{ft} / \mathrm{sec} \approx 700 \mathrm{cu} . \mathrm{ft} / \mathrm{sec}$.
Explanation as extracted from the printed page; notation may be imperfect.