Question

into a cylinder along its length. Find the surface area of this cylinder.
10. A rectangular piece of paper is 22 cm in length and 10 cm in width. It is rolled
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Answer 1

Correct Question :-

• A rectangular piece of paper is 22 cm in length and 10 cm in width. It is rolled into a cylinder along its length. Find the surface area of this cylinder.

To find :-

• Surface area of cylinder

Solution :-

→ Length of rectangle piece = Height of cylinder = 22cm

→ Width of rectangle piece = Circumference of base of cylinder = 10cm

Now,

→ Circumference of cylinder = 2πr

→ 10 = 2 × 22/7 × r

→ 10 = 44/7 × r

→ r = 10 × 7/44

→ r = 70/44

→ r = 1.5 cm

Hence, radius of cylinder is 1.5cm

→ Total surface area of cylinder

→ Curved surface area+ 2 × base area

→ 2πrh + 2πr²

→ 2πr(h + r)

Circumference of base i.e 10cm

→ 10(22 + 1.5)

→ 10 × 23.5

→ 235 cm²

Therefore,

• Total surface area of cylinder is 235cm²

Answer 2

Answer:

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