The ends of a rectangular sheet of paper 44cm*12cm are joined lengthwise to form a cylinder of height 12cm.what is the volume of the cylinder
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The volume of the cylinder is 1848 cm^3.
Step-by-step explanation:
Given data:
Length = 44 cm
Width= 12 cm
Height of cylinder = 12 cm
Length will be perimeter of circle and width will be height of cylinder.
- Now perimeter of rectangular sheet of paper = 2(l+b)
=2×(44+12) =2×56 = 112 cm
Therefore, radius of circle of cylinder = perimeter of circle/2π
= 44/2π =7 cm
- volume of cylinder= πr^2h
=22×7×7×12/7
= 1848 cm^3
The volume of the cylinder is 1848 cm^3.
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