Question

The length and breadth of a rectangular sheet of paper are 88cm and 21cm it is rolled along its length and a cylinder is formed find the total surface area of cylinder

Answer 1

The length and breadth of a rectangle sheet of a paper are 88 cm and 21 cm. it is rolled along its length and a cylinder is formed.

We have to find the total surface area of cylinder.

a/c to question,

rectangular sheet of paper is rolled along its length.

∴ circumstance of base of formed cylinder = length of rectangular sheet

⇒2πR = 88 cm ...(1)

⇒2 × 22/7 × R = 88 cm

⇒R = (88 × 7)/44 = 14 cm

hence, the radius of cylinder , R = 14 cm

now total area of cylinder = lateral surface area of cylinder + 2 × cross sectional area

= (2πR)h + 2 × πR²

here, h = breadth of rectangular sheet = 21 cm

from equation (1), 2πR = 88 cm

= 88 cm × 21 cm + 2 × 22/7 × 14 × 14 cm²

= 1848 cm² + 1232 cm²

= 3080 cm²

Therefore the total surface area of cylinder is 3080 cm².