A rectangular sheet of paper is made to cover a cylinder such that the width of the rectangular sheet is equal to the height of the cylinder and length is just enough to go round the cylinder. Which of the following option correctly represents the curved surface area of the cylinder?

Radius of base of the cylinder × Height of the cylinder

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Area of the rectangular sheet

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Perimeter of the rectangular sheet

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Height of the cylinder × Area of rectangular sheet

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Solution

The correct option is B
Area of the rectangular sheet

Curved surface area of the cylinder
= Area of the rectangular sheet
= Length × Breadth
= Perimeter of the base of the cylinder × Height

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A rectangular sheet of paper is made to cover a cylinder such that the width of the rectangular sheet is equal to the height of the cylinder and length is just enough to go round the cylinder. Which of the following option correctly represents the curved surface area of the cylinder?

The correct option is B Area of the rectangular sheet Curved surface area of the cylinder = Area of the rectangular sheet = Length × Breadth = Perimeter of the base of the cylinder × Height

The correct option is B
Area of the rectangular sheet

Curved surface area of the cylinder
= Area of the rectangular sheet
= Length × Breadth
= Perimeter of the base of the cylinder × Height