Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: 2006 · Marks: · Difficulty:
Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the radius of whose base is 60 cm. By how much will the level of water rise in 30 minutes?
(a)2 m
(b)3 m
(c)4 m
(d)5 m
Answer
Answer (as printed): B
Explanation
Volume of water flown through the pipe in 30 min $=[(\pi \times 0.01 \times 0.01 \times 6) \times 30 \times 60] \mathrm{m}^{3}=(1.08 \pi) \mathrm{m}^{3}$. Let the rise in level of water be $h$ metres. Then, $\pi \times 0.6 \times 0.6 \times h=1.08 \pi \Rightarrow h=\left(\frac{1.08}{0.6 \times 0.6}\right)=3 \mathrm{m}$.