The lateral surface area ofa hollow cylinder is 4224 cm lt is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet?
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Answer:
Lateral surface area of a hollow cylinder = 4224 cm²
Width of rectangular sheet = 33 cm
Let length of the rectangular sheet = l
Lateral surface area of cylinder = Area of rectangular sheet
4224 cm² = b × l
4224 cm² = 33 cm × l
l = 4224 / 33 cm = 128 cm
Thus, the length of the rectangular sheet be 128 cm
Perimeter of the rectangular sheet = 2 × (l + b)
= 2 × (128 cm + 33 cm)
= 2 × 161 cm = 322 cm
Thus, the perimeter of the rectangular sheet is 322 cm.
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