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Question
Find the volume of the largest cylinder formed when a rectangular piece of paper 44 cm by 33 cm is rolled along it : longer side.
Solution
Length of a rectangular paper = 44 cm
Breadth of a rectangular paper = 33 cm
When the paper is rolled along its longer side , i.e. length, we have
Height of cylinder = h = 33 cm
Circumference of cross section = 2 π r = 44 cm
`=> 2 xx 22/7 xx "r" = 44`
`=> "r" = (44xx7)/(2xx22) = 7` cm
`therefore "Volume of cylinder" = pi"r"^2 h = 22/7 xx 7 xx 7 xx 33 = 5082 "cm"^3`
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