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A rectangular sheet of paper 30 c m\ ...

A rectangular sheet of paper `30 c m\ x\ 18 c m` can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

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Let `V` and `v` be the volumes of two cylinders.
When the sheet is folded along its length so it forms a cylinder of height, `h=18cm`
perimeter of base equal = `18cm`
Let radius of the base be `R`.
Circumference=`2piR`
`30=2xxpixxR`
`R=15/pi`
`R=4.77cm`
...
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