ABC26GN4913 · Volume and Surface Area

Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:

A cylindrical tank of diameter 35 cm is full of water. If 11 litres of water is drawn off, the water level in the tank will drop by
(a)$10 \frac{1}{2} \mathrm{cm}$
(b)$11 \frac{3}{7} \mathrm{cm}$
(c)$12 \frac{6}{7} \mathrm{cm}$
(d)14 cm
Answer
Answer (as printed): B
Explanation
Let the drop in the water level be $h \mathrm{cm}$. Then, $$\begin{aligned} \frac{22}{7} \times \frac{35}{2} \times \frac{35}{2} \times h=11000 \Leftrightarrow h=\left(\frac{11000 \times 7 \times 4}{22 \times 35 \times 35}\right) \mathrm{cm} & \\ = & \frac{80}{7} \mathrm{cm}=11 \frac{3}{7} \mathrm{cm} . \end{aligned}$$

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