Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2008 · Marks: · Difficulty:
Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide. Determine the time in which the level of water in the tank will rise by 7 cm.
(a)1 hour
(b)$1 \frac{1}{2}$ hours
(c)2 hours
(d)3 hours
Answer
Answer (as printed): C
Explanation
Volume of water flown into the tank $=(50 \times 44 \times 0.07) \mathrm{m}^{3}=154 \mathrm{m}^{3}$. Volume of water flowing through the pipe in 1 hour $$\begin{aligned} & =\left(\frac{22}{7} \times 0.07 \times 0.07 \times 5000\right) \mathrm{m}^{3}=77 \mathrm{m}^{3} . \\ & \therefore \text { Required time }=\left(\frac{154}{77}\right)=2 \mathrm{hrs} . \end{aligned}$$