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A rectangular piece of paper is …

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A rectangular piece of paper is 22 cm long and 10 cm wide .A cylinder is formed by rolling the paper along its length .find the volume of cylinder.

  • 2 answers

Neeraj Sharma 8 years, 4 months ago

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

Let r cm be the radius of the base and h cm be the height then h=10cm

Now circumference of the base=length of the paper

2πr=22

2×227×r=22

r=72cm

Volume of cylinder=πr2h

=227×722×10

=385 cm3

Sudhanshu Yadav 8 years, 4 months ago

Given: a rectangular piece of paper of length=22cm breadth=10cm.

As we will roll the rectangular piece along its length, then length of rectangle becomes height of cylinder and width of rectangular piece would become circular faces of diameter 10cm. So radius will be =5cm. 

So, volume of cylinder=πr2

22/7*5*5*22 =12100/7

=1728.57cm2 .

Volume of cylinder =1728.57cm2 .

 

 

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