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A rectangular sheet of paper, $44 cm × 20 cm$ , is rolled along its length to form a cylinder. Find the volume of the cylinder so formed?

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3080

cm 3

3800

cm 3

3008

cm 3

3088

cm 3

answer is A.

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Detailed Solution

It is given a rectangular sheet of paper

44 cm × 20 cm

.
Therefore, by rotating along the length, a cylinder is formed in which the circumference of its base is 44 cm and height(h) is 20 cm.
Question Image

Circumference of the base of the cylinder is

2 π r

.
So,

2 π r = 44

⇒ 2 × 227 × r = 44

⇒ 447 r = 44

⇒ 44 r = 44 × 7

⇒ r = 7

cm
The volume of the cylinder is,

V=πr 2 h ⇒ V= 227 × 72 ×20

⇒ V= 227 × 7 × 7 × 20

⇒ V = 3080 cm 3

Therefore, the volume of the cylinder is

3080 c m 3

.
Hence option (1) is correct.

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