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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?

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NCERT Solutions for Class 8 Mathematics Chapter 11
Important NCERT Questions
Mensuration Chapter 8 Exercise 11.3
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 8

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1 Answer

  1. Given: Lateral surface area of hollow cylinder = 4224 cm²
    And Height of hollow cylinder = 33 cm
    Curved surface area of hollow cylinder = 2𝜋rh
    ⇒ 4224=2×22/7xrx33
    ⇒ r= 4224×7/2x22x33=64×7/22 cm
    Now Length of rectangular sheet = 2𝜋r
    ⇒ l=2×22/7x64x7/22=128cm
    Perimeter of rectangular sheet = 2(l+b)
    = 2(128+33)=2×161 = 322cm
    Hence, the perimeter of rectangular sheet is 322 cm.

    Class 8 Maths Chapter 11 Exercise 11.3 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/

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