a sheet measuring 44 m * 11m is folded along its length 44m to form a cylinder. find the radius of this cylinder?
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Answer:
1.75 m.
Step-by-step explanation:
Let'a assume the radius of the cylinder is r m.
Thus, the area of its curved surface will be (2πrh) m².
As per the question, the rectangular sheet is folded along its length, that is 44 m.
Thus, the height(h) of the cylinder becomes 44 m.
Area of the rectangular sheet = (44 X 11) = 484 m².
Thus, it can be said that,
(2πrh) = 484
or, πrh = 484/2
or, (22/7)rh = 242
or, rh = (242 X 7)/22
or, 44r = (242 X 7)/22 [As, explained above why h=44 m]
or, r = (242 X 7)/(22 X 44)
or, r = 1.75
Thus the radius of the cylinder is 1.75 m.
anjuu108:
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