Math, asked by eytwrrufra, 2 months 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?

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Answers

Answered by SweetCharm
13

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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Answered by vinshultyagi
2

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