ABC26GN4902 · Volume and Surface Area

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

The curved surface area of a cylindrical pillar is 264 $\mathrm{m}^{2}$ and its volume is $924 \mathrm{m}^{3}$. Find the ratio of its diameter to its height.
(a)3 : 7
(b)7 : 3
(c)6 : 7
(d)7 : 6
Answer
Answer (as printed): B
Explanation
$\frac{\pi r^{2} h}{2 \pi r h}=\frac{924}{264} \Rightarrow r=\left(\frac{924}{264} \times 2\right)=7 \mathrm{m} . \mathrm{And}, 2 \pi r h=264$ $$\Rightarrow h=\left(264 \times \frac{7}{22} \times \frac{1}{2} \times \frac{1}{7}\right)=6 \mathrm{m} .$$ ∴ Required ratio $=\frac{2 r}{h}=\frac{14}{6}=7: 3$.

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