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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?
1995aditya
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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