Question

The lateral surface area of a hollow cylinder is 4224 cm square.
it is cut along it's hieght and formed a rectangular sheet of width 33cm. find the perimeter of rectangular sheet?

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Answer 1

Answer - 322 cm.

Step-by-step explanation:

Solution: Lateral surface area of hollow cylinder = 4224 cm^2

Height of hollow cylinder, h = 33 cm and say r be the radius of the hollow cylinder Curved surface area of hollow cylinder = 2 π r h

4224 = 2 x π x r x 33

r = (4224 )/ ( 2 π x 33 )

r = 64 / π

Now, Length of rectangular sheet, l = 2 π r

l = 2 π (64 / π) = 128 (using value of r)

So the length of the rectangular sheet is 128 cm.

Also, Perimeter of rectangular sheet = 2 ( l + b )

= 2 (128 + 33)

= 322

The perimeter of rectangular sheet is 322 cm.

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