Math, asked by Mister360, 2 months ago

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.

Answers

Answered by CopyThat
22

Answer:

  • Perimeter of rectangular sheet is 322 cm.

Step-by-step explanation:

Given

  • L.S.A of a hollow cylinder = 4224 cm²

Cylinder is formed into a rectangular sheet :

  • Rectangular sheet width = 33 cm

To find

  • Perimeter of rectangular sheet

Solution

It is given that a cylinder is converted to rectangle, that means the area of both cylinder and rectangle will be the same. According to the question, the curved/lateral surface area of cylinder is equal to the area of rectangle.

  • 4224 = Length × Breadth/Width
  • 4224 = Length × 33
  • Length = 4224/33
  • Length = 128

Hence, the length of rectangular sheet is 128 cm.

Perimeter of rectangular sheet will be :

  • 2 (Length + Breadth)
  • 2(128 + 33)
  • 2(161)
  • 322

Hence, the perimeter of rectangular sheet is 322 cm.

Answered by ARCHISHA008
14

Heya ,

Good question !!!!

What we need to do :

As it is given that it is cut along its height and formed a rectangular sheet so we will find height with the help of the lateral surface area of hollow cylinder .

After finding height , its given to find perimeter of sheet which is rectangular so we will simply find it by putting the formula . Then , all set

Solution

4224 = 48 × h

h = 4224 / 48 ( dividing )

h = 88

Perimeter of rectangular sheet = 2 × (l + b)

= 2× (88 + 48)

= 2 × 136

= 272 cm

Hence , The perimeter of rectangular sheet is 272 cm .

Question solved !!

Hope It Helps You !!

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