The lateral surface area of a hollow cylinder is 4224 〖cm〗^2. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of a rectangular sheet
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Answer: 322cm
Step-by-step explanation:
C. S. A = 4224cm²
Height = Width = 33cm
C. S. A = 2πrh
4224cm² = 2 × 22/7 × r × 33
4224 × 7/2 × 22 × 33 = r
224/11cm = r
Circumference of the circle = 2πr
= 2 × 22/7 × 224/11
= 128cm
Circumference = Length of the rectangular sheet
Perimeter of the rectangular sheet = 2(l + b)
= 2( 128 + 33)
= 2 × 161
= 322cm
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