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Question

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.

Options:
A .  3 : 7
B .  7 : 3
C .  6 : 7
D .  7 : 6
Answer: Option B

\(\frac{\pi r^{2}h}{2\pi rh} = \frac{924}{264}\Rightarrow r= \left(\frac{924}{264}\times2\right) = 7m\)


And, \(2\pi rh\Rightarrow h= \left(264\times\frac{7}{22}\times\frac{1}{2}\times\frac{1}{7}\right) = 6m.\)  


So, Required ratio =  \(\frac{2r}{h}=\frac{14}{6}= 7:3.\)


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