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