Question

A rectangular sheet of paper
of dimensions 88cm x 28cm
is rolled along its length and
cylinder is formed. Find the
surface area of the cylinder.​

Answer 1

Answer:

surface area of cylinder is 88x28=2464

Answer 2

Answer:

2585 cm²

Step-by-step explanation:

Given -

A rectangular sheet of paper dimensions of 88 cm and 28 cm, is rolled along its length and cylinder is formed

To find -

The surface area (T.S.A.) of cylinder

Solution -

Given that length of the rectangle = 88 cm, and breadth = 28 cm.

When a cylinder is formed along its length, the length will be turns into height of cylinder, and breadth turns into the circumference of the base.

As we know that

Total Surface area of cylinder = 2πr(h+r)

To find out the surface area we want height (h) and radius (r).

So we have to find out the radius from circumference.

Circumference = 28 cm

=> 2πr = 28 cm

=> 2×22/7 × r = 28 cm

=> 44/7 × r = 28

=> 44 × r = 28×7

=> 44×r = 196

=> r = 196/44

=> r = 4.45 (approx)

T.S.A (Surface area) = 2πr(h+r)

= 2×22/7×4.45 (88+4.45)

= 44/7 × 4.45 × 92.45

= 18101/7 (approx)

= 2585 cm² (approx)

Hence Surface area of cylinder = 2585 cm².

hope it helps.