Question

A rectangulae sheet of paper h
44cm * 20 cm
of the their
find the lital
surface area
generated​

Answer 1

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A rectangular sheet of paper, 44 cm × 20 cm, is rolled along its length to form a cylinder. Find the total surface area of the cylinder thus generated.

${\large{\underbrace{\underline{\bf{Answer:-}}}}}$

Dimensions of rectangular sheet of paper = 44cm × 20cm

When this sheet of paper is rolled along its length, Circumference of base becomes = 44 cm

Circumference of base = 2πr

So, 2πr = 44 2 × $\frac{22}{7}$ × r

= 44 r

= 44 × $\frac{7}{44}$

= 7cm

∴ Radius = 7cm

Height = 20 cm

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

= 2 × $\frac{22}{7}$ × 7 (20 + 7)

= 2 ×  $\frac{22}{7}$  × 7 × 27

= 1188 cm²

Answer 2

Answer:

Circumference of base = 2πr

So, 2πr = 44 2 × 22/7 × r

= 44 r

= 44 × 7/44 = 7cm

∴ Radius = 7cm

Height = 20 cm.

• ∴ Total surface area of cylinder = 2πr (h+r)

= 2 × 22/7 × 7 (20 + 7)

= 2 × 22/7 × 7 × 27 = 1188 cm² Ans.