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Maths / Surface Area and Volume / Volume of cylinder
QUESTION
 

A rectangular sheet of paper 44 ; cm times 18;cm is rolled along its length and a cylinder is formed. Find the volume of the cylinder. (Use ; pi =22/7)

EXPLANATION
Explain TypeExplanation Content
Text

When the rectangular sheet is rolled along its length, we find that 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 be the height. Then, h=18;cm.

Now, circumference of the base = Length of the sheet

Rightarrow     Circumference =44;cm

Rightarrow      2pi r=44

Rightarrow       2 times frac {22}{7} times r=44

Rightarrow      r=7;cm

therefore       Volume of the cylinder = pi r^2h;cm^3

         =frac {22}{7} times (7)^2times 18 ; cm^3=2772;cm^3

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