a rectangular sheet of paper 44 ×18 cm is rolled along its length and a cylinder is formed find the radius of cylinder
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hey there
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Given :
there is a rectangular sheet of paper that has a length of 44cm and breadth of 18cm .
as the paper is rolled along its length , the breadth becomes the height of the cylinder and the length becomes the circumference of the cylinder.
=> circumference of a circle = 2πr
but the circumference = length of the paper
=> 2πr = 44
on transposing the known values to R.H.S
we get
=> r = 44 * 1/2 * 1/π
π = 22 / 7
=> 7 / 22 * 1/ 2 * 44 = r
=> r = 7cm
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