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A rectangular sheet of paper with dimensions 44 cm×20 cm is rolled along its length to form a cylinder. What will be the volume of the cylinder so formed?

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3070

c m 3

3080

c m 3

3085

c m 3

3075

c m 3

answer is B.

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Detailed Solution

Given that,
Length of rectangular sheet = 44 cm
Height (h) of rectangular sheet = 20 cm
The volume of the cylinder =

π r 2 h

Circumference of the circle=

2 π r

……(1)
Comparing the equation (1) with the given length of the sheet,

2 π r = 44

r = 44 2 π

r = 44 2 × 227

r = 44 × 7 2 × 22 r = 7 cm

The volume of the cylinder

= π r 2 h

Substituting the value of r and h in the above equation,
The volume of the cylinder

= π × 72 × 20 c m 3

……(3)
Substitute

π = 227

in equation (3) and simplify the equation.

= 227 × 7 × 7 × 20 c m 3

=3080 cm

3

Thus, the volume of the cylinder will be 3080

c m 3

.
Therefore, the correct option is 2.

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