Question

The lateral surface area of hollow cylinder is 4224cm². it is cut along its hight and formed a rectangular sheet of width 33cm. find the perimeter of rectangular sheet? ​

Answer 1

Given:-

Lateral surface area = 4224 cm²

Width of rectangular sheet = 33 cm

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To find:-

Perimeter of rectangular sheet.

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Solution:-

A.T.Q,

$\tt\longmapsto{Area\: of\: sheet = S.A\: of\: cylinder}$

$\tt\longmapsto{Length × Breadth = 4224}$

$\tt\longmapsto{Length × 33 = 4224}$

Or,

$\tt\longmapsto{Length = \dfrac{4224}{33}}$

⠀⠀⠀⠀⠀⠀ ⠀$\tt{= 128 cm}$

Therefore,

$\tt\longmapsto{Perimeter\: of\: sheet = 2(l + b)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\tt{= 2(128 + 33)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\tt{= 2 × 161}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\tt{\purple{= 322 cm}}}$

Hence, the perimeter of sheet is 322 cm.

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Answer 2

Answer:

see the above attachment.