Question

a rectangle piece of paper 22cm long and 12cm broad is rolled along its length to form a cylinder of height 12cm . find the volume of the cylinder so formed.

Answer 1

Length of rectangular paper =22 cm

Breadth of rectangular paper=12 cm

Area of rectangular paper= 22*12=264 cm sq

Height of cylinder= 22cm ( because rectangular paper filled along length)

Curved surface area of cylinder = Area of rectangular paper

So Curved surface area of cylinder= 264 cm sq

Volume of cylinder= Curved surface area x height of cylinder

= 264*22 = 5808 cm sq

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Answer 2

As height if cylinder = breadth of paper = 12 cm

So,

Circumference of cylinder 's base = length of paper = 22 cm

2*pi*r = 22

2*22/7*r=22

r=7/2 cm

Volume= pi*r*r*h

22/7*7/2*7/2*12

=6*11*7

=66*7

=462 cm^3