Question

The lateral surface area of a hollow cylinder is 4224 cm² .It is cut along its height and formed a rectangular sheet of width 48 cm. Find the perimeter of rectangular sheet​​

Answer 1

Answer:

Lateral surface area of a hollow cylinder = 4224 cm²

Width of rectangular sheet = 33 cm

Let length of the rectangular sheet = l

Lateral surface area of cylinder = Area of rectangular sheet

4224 cm² = b × l

4224 cm² = 33 cm × l

l = 4224 / 33 cm = 128 cm

Thus, the length of the rectangular sheet be 128 cm

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

= 2 × (128 cm + 33 cm)

= 2 × 161 cm = 322 cm

Thus, the perimeter of the rectangular sheet is 322 cm.

Step-by-step explanation:

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