15. A rectangular sheet of paper 44 cm x 20 cm is rolled along its length to form a cylinder.Find the total curved surface area of the
cylinder so formed.
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We know that the curved surface area of a right circular cylinder with radius r and height h is CSA=2πrh.
It is given that the length of the rectangular sheet is l=44 cm and the height of the sheet is h=20 cm. Since the cylinder is formed among the length, therefore, length of rectangular sheet is equal to circumference of base that is:
Therefore, the radius of the rectangular sheet is 7 cm.
We also know that the volume of a right circular cylinder with radius r and height h is V=πr ² h.
Here, the height is h=20 cm and the radius is r=7 cm, therefore,
Hence, the volume of the cylinder is 3080 cm ³
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