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The lateral surface area of a hollow cyl...

The lateral surface area of a hollow cylinder is 4224 `cm^2`. It is cut along its height and formed a rectangular sheet of width 33 cm. Find the perimeter of the rectangular sheet?

Text Solution

Verified by Experts

A hollow cylinder is converted to a rectangular sheet.
Thus, area must be same.
`:.` CSA of cylinder = Area of sheet
`4224=LengthxxBreadth`
`4224=lxx33`
`4224/33=l`
`l=4224/33`
`l=128 cm`
...
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The lateral surface area of a hollow cylinder is 4224cm^(2). It is cut along its height and formed a rectangular sheet of width 33cm. Find the perimeter of the rectangular sheet?

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Knowledge Check

  • The lateral surface area of a cylinder is 1056 cm^(2) and its height is 16 cm. What is its volume ?

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