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A rectangular sheet of paper, 44 cm\xx 2...

A rectangular sheet of paper, `44 cm\xx 20 c m ,` is rolled along its length of form a cylinder. Find the volume of the cylinder so formed.

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Dimensions of rectangular sheet of paper`=44cmxx20cm`
When this sheet of paper is rolled along its length
Then Circumference of base becomes`=44 cm`
Circumference of base`=2pir`
`2pir=44`
`2xx22/7xxr=44`
`r=44xx7/44`
`r=7cm`
Radius `r=7cm`
Height `h=20 cm`
Volume of a cylinder
`=pir^2h`
`=22/7xx7^2xx20`
`=22/7xx49xx20`
`=3080 cm^2`
`therefore` Volume of a cylinder`=3080 cm^2`
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