Question

the lateral surface of a hollow cylinder is 5220 cm². it is cut along its height and formed into a rectangular sheet of width 36 cm . find the perimeter of the rectangular sheet .​

Answer 1

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the lateral surface of a hollow cylinder is 5220 cm². it is cut along its height and formed into a rectangular sheet of width 36 cm . find the perimeter of the rectangular sheet .

$\huge\rm { ☆_!! Answer !_! ☆}$

⇢ Let l be the length of the rectangular sheet formed

⇢ Let b be the breadth of the rectangular sheet formed

then , b = 36 cm

✭ curved surface area of the cylinder = area of the rectangular sheet

⇢ 5220 cm ² = l × b

$\tt ⇢length = \dfrac{ {5220 \: cm}^{2} }{b}$

$\tt ⇢length = \dfrac{ {5220 \: cm}^{2} }{36 \: cm}$

$\tt ⇢length = 145 cm$

Now ,

Perimeter of the rectangular sheet

⇢ 2 ( l + b )

⇢[ 2 ( 145 + 36 ) ] cm

⇢[ 2 ( 181 ) ] cm

⇢2 × 181 cm

⇢ 362 cm

Hence ,the Perimeter of the rectangular sheet is 362 cm .

Answer 2

Answer:

☆

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!Question!

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☆

the lateral surface of a hollow cylinder is 5220 cm². it is cut along its height and formed into a rectangular sheet of width 36 cm . find the perimeter of the rectangular sheet .

\huge\rm { ☆_!! Answer !_! ☆}☆

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!Answer!

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☆

⇢ Let l be the length of the rectangular sheet formed

⇢ Let b be the breadth of the rectangular sheet formed

then , b = 36 cm

✭ curved surface area of the cylinder = area of the rectangular sheet

⇢ 5220 cm ² = l × b

\tt ⇢length = \dfrac{ {5220 \: cm}^{2} }{b}⇢length=

b

5220cm

2

\tt ⇢length = \dfrac{ {5220 \: cm}^{2} }{36 \: cm}⇢length=

36cm

5220cm

2

\tt ⇢length = 145 cm⇢length=145cm

Now ,

Perimeter of the rectangular sheet

⇢ 2 ( l + b )

⇢[ 2 ( 145 + 36 ) ] cm

⇢[ 2 ( 181 ) ] cm

⇢2 × 181 cm

⇢ 362 cm

Hence ,the Perimeter of the rectangular sheet is 362 cm .