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Q: What is the length of a rectangle formed from the lateral surface of a cylinder?
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The lateral surface area of a hollow cylinder is 4224 cu cm and it is cut along its height and a rectangular sheet of width 32 cm is formed so find the perimeter of the rectangular sheet?

hi i m sunny dhiman.. The lateral surface area of cylinder will become equal to the area of rectangle now we have area of rectangle = 4224 cm^2 breadth (width) = 33cm area of rectangle = l * b 4224 = l * 33 4224/33 = l 128 = l Perimeter of rectangle = 2l+ 2b =2 (128) + 2(33) =332cm Previous answer was completely wrong. Lateral area of cylinder is 4224 sq.cm. (not cu.cm. by the way) Height is 32 cm so lateral width must be 4224/32 = 132 cm = diameter of cylinder. Perimeter of sheet is the circumference of a 132 cm cylinder = 132*Pi = 414.6902 cm. So final sheet size is 32 cm x 414.6902 cm.


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