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Question

A rectangular piece of paper 11cm×4cm is folded without overlapping to make a cylinder of height 4cm .find the volume of the cylinder?


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Solution

Given that,

Length of the rectangular paper=11cm

The breadth of the rectangular paper=4cm

Circumference of the circular part of the cylinder =2πr

also given that the cylinder is rolled along its length

Hence Circumference of the circular part of the cylinder =Length of the rectangular paper

2πr=112×227×r=11447×r=11r=1144×7r=14×7r=74cm

Height of cylinder =Breadth of the rectangular paper =h=4cm

Volume of cylinder =πr2h

=227×742×4=227×7×74×4×4=224×77×44×7=112×11×11×7=772=38.5cm3


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