Question

a rectangular sheet of paper 44cm×18cm is rolled along its length and a cylinder is formed . find the radius and volume of the cylinder​

Answer 1

length of the sheet = circumference of cylinder base

2*pi*r=44cm

2*22/7*r=44

r=(44*7)/(2*22)

r=7cm

therefore

cylinder radius=r=7cm

height of the cylinder=breadth of the rectangle

h=18cm

volume of the cylinder =pi*r^2*h

=22/7*7*7*18

=22*7*18

=2772cm^3

Answer 2

When the rectangular sheet is rolled along its length, we find the length of the sheet forms the circumference of its base and breadth of the sheet becomes the height of the cylinder.

let r cm be the radius of the base and h cm can be height, then h=18 cm

Now, circumference of the base = length of the sheet

⇒ 2πr=44

⇒ 2×

7

22

×r=44⇒r=7cm

hence radius of the cylinder is 7 cm.

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