The curved surface area of a cylindrical pillar is 264 m² and its volume is 924 m³. Find the ratio of its… · ABC26GN4902

Subject: General Aptitude · Chapter: Volume and Surface Area

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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