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Area of Quadrilateral

A rectangular...

Question

A rectangular sheet of dimensions $44$ cm $\times 16$ cm is to be formed into a hollow cylinder by rolling it along its length. What is the radius of the cylinder?

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Solution

$L e t t h e r a d i u s o f t h e o f t h e c y l i n d e r b e r c m w h e n r e c t a n g u l a r s h e e t i s f o r m e d i n t o c y l i n d e r b y r o l l i n g i t a l o n g i t s l e n g t h t h e n l e n g t h o f t h e s h e e t = c i r c u m f e r e n c e o f t h e c i r c l e l e n g t h o f r e c t a n g u l a r s h e e t = 44 c m s o 2 π r = 44 r = \frac{44}{2 π} (p u t t i n g π = \frac{22}{7}) r = 7 c m$

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