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?

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

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