The lateral surface area of a cylinder metal pipe is 5,635 cm². When it is cut along the height of the pipe, we get a rectangular sheet of width 33 cm. Find the perimeter of the rectangular sheet.
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Answer :
The perimeter of the rectangular sheet is 407.5 cm.
Step-by-step explanation :
To Find,
- The perimeter of the rectangular sheet
Solution,
Given that,
- Lateral surface area = 5635 cm²
- The width of the sheet = 33 cm
Therefore,
Curved surface area of a hollow cylinder = Area of rectangular sheet.
» 5635 = lenght × breadth
» 5635 = lenght × 33
» lenght = 5635 / 33
» lenght = 170.75
Hence, lenght of the rectangle is 170.75 cm
Therefore, the perimeter of the rectangle is
We know that,
Perimeter of rectangle = 2 ( Length + Breadth )
» 2 ( 170.75 + 33 )
» 2 × 203.75
» 407.5 cm
Hence, the perimeter of the rectangle is 407.5 cm
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