Question

A Rectangular sheet measuring 44 m × 11 m is folded along its length 44 m to form a cylinder . Find the radius of this cylinder.

Answer 1

(22÷7)×2r=44
r=44×(7÷22)/2
r=7
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Answer 2

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.