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Question

A rectangular sheet of paper $$44 \ cm \times 18\ cm $$ is rolled along its length and a cylinder is formed. Find the radius of the cylinder.


Solution

When the rectangular sheet is rolled along its length, we find the length of the sheet forms the circumference of its base and breadth of the sheet becomes the height of the cylinder.

let $$r \ cm$$ be the radius of the base and h cm can be height, then $$h = 18\ cm$$

Now, circumference of the base = length of the sheet
 
$$ \Rightarrow $$      $$ 2 \pi r = 44 $$

$$ \Rightarrow $$             $$ 2 \times \dfrac {22}{7} \times r = 44 \Rightarrow r = 7 cm $$

hence radius of the cylinder is $$7\ cm$$.
1401427_1673433_ans_e01ab4c166554c4586de67d87ad3706d.png

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