Math, asked by monaprajapati040, 1 year ago

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? ​

Answers

Answered by titan2218
3

Answer:

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by Titan

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Answered by Anonymous
14

Given:-

  • Lateral surface area = 4224 cm²
  • Width of rectangular sheet = 33 cm

To find:-

  • Perimeter of rectangular sheet.

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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