Question

The lateral surface area of ahollow cylinder is 4224 cm square it os cut along its height and formed a rectangular sheet of wisth 33 cm . Find the perimeter of rectangular sheet?​

Answer 1

Given :-

• The lateral surface area of ahollow cylinder is 4224 cm². it isncut along its height and formed a rectangular sheet of width 33 cm.

To Find :-

• The Perimeter of rectangular sheet = ?

Solution :-

• CSA of cylinder = 4224 cm²
• rectangular sheet width = 33 cm

In the question it is said that hollow cylinder is converted to rectangular sheet. Therefore, there area must be same.

So,

→ CSA of cylinder = Area of rectangular sheet

→ 4224 = Length × Breadth

→ 4224 = Length × 33

→ Length = 4224 ÷ 33

→ Length = 128 cm

Therefore, Length of rectangular sheet is 128 cm.

Now, let's find the Perimeter of reactangular sheet.

➝ Perimeter of rectangle = 2 (Length + Breadth)

➝ Perimeter of rectangle = 2(128 + 33)

➝ Perimeter of rectangle = 2(161)

➝ Perimeter of rectangle = 322 cm

Therefore, the perimeter of rectangle is 322 cm.

Answer 2

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322 cm