Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
What is the capacity of the cylindrical tank? (Bank. P.O., 2008) I. Radius of the base is half of its height. II. Area of the base is 616 square metres. III. Height of the cylinder is 28 metres.
(a)Only I and II
(b)Only II and III
(c)Only I and III
(d)All I, II and III
(e)Any two of the three
Answer
Answer (as printed): E
Explanation
I \& II. $\pi r^{2}=616 \Rightarrow r^{2}=\frac{616 \times 7}{22}=196 \Rightarrow r=14 \mathrm{m}$. So, $h=28 \mathrm{m}$. $\therefore$ Capacity $=\left(\frac{22}{7} \times 14 \times 14 \times 28\right) \mathrm{m}^{3}=17248 \mathrm{m}^{3}$. II \& III. $h=28 \mathrm{m}$ and $r=\frac{h}{2}=14 \mathrm{m}$. $\therefore$ Capacity $=\left(\frac{22}{7} \times 14 \times 14 \times 28\right) \mathrm{m}^{3}=17248 \mathrm{m}^{3}$. Thus, any two of the three given statements are sufficient. $\therefore$ Correct answer is (e).