The lateral Surface area of hollow Cylinder is 4224
cm². It is cut along its height and formed a
rectangular sheet of widths 33 cm. find the
perimeter of rectangular sheet.
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2
Answer:
Answer:
Answer is 5Ω
7Ω+3Ω=10Ω
10Ω-10Ω=0
5Ω is remaining
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Given that:
- 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.
To Find:
- The perimeter of rectangular sheet.
Formula used:
- Area of rectangle = Length × Breadth
- Perimeter of rectangle = 2(Length + Breadth)
Let us assume:
- The length of the rectangular sheet be L.
According to the question.
Area of rectangular sheet = Lateral surface area of a hollow cylinder
ㅤ↠ㅤL × 33 = 4224
ㅤ↠ㅤ33L = 4224
ㅤ↠ㅤL = 4224/33
ㅤ↠ㅤL = 128
∴ Length of rectangular sheet = 128 cm
Now,
Finding the perimeter of rectangular sheet:
ㅤ↠ㅤPerimeter = 2(128 + 33)
ㅤ↠ㅤPerimeter = 2(161)
ㅤ↠ㅤPerimeter = 322
Hence,
- The perimeter of rectangular sheet is 322 cm.
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