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Question

The curved surface area of a cylindrical pillar is $$264$$ m$$^2$$ and its volume is $$924$$ m$$^3$$. Find the diameter.


Solution

$$ V = \pi r^{2}h $$ & $$ CSA = 2\pi rh $$
$$ \Rightarrow \dfrac{V}{(CSA)} = \dfrac{\pi r^{2}h}{2 \pi rh} = \dfrac{r}{2} \Rightarrow d = 4\times \dfrac{924}{264} $$
$$ \Rightarrow \boxed{d = 14} $$ 

1114269_520720_ans_bb414ac3de6544ed9c6246425270b60b.jpg

Mathematics

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