Question:
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.
The lateral surface area of a hollow cylinder is 4224 cm2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of rectangular sheet.
Updated On: Feb 23, 2025
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Solution and Explanation
A hollow cylinder is cut along its height to form a rectangular sheet.
Area of cylinder = Area of rectangular sheet
4224 cm2 = 33 cm × Length
Length =\(\frac{4224\ cm^2}{33\ cm}\)
=128 cm
Thus, the length of the rectangular sheet is 128 cm.
Perimeter of the rectangular sheet = 2 (Length + Width)
= [2 (128 + 33)] cm
= (2 \(×\) 161) cm
= 322 cm
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