A rectangular piece of paper is 11 cm long and 6 cm wide. A cylinder is formed by rolling the paper along its length. Find the volume of the cylinder.
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Answer: The volume of the cylinder is 31.5cm^3
Step-by-step explanation:
Given,
A rectangular piece of paper is 11 cm long and 6 cm wide
Length of the rectangular paper will be height of the cylinder and width of the rectangular paper is circumference of the cylinder
Therefore,2πr=6cm=h=11cm
Now volume of the cylinder=πr^2h
=22/7x(6/2π)x(6/2π)x11cm^3
=22/7x(6/2)x7/22x(6/2)x7/22x11cm^3
=22/7x3x7/22x3x7/22x11cm^3
=22/7x9x7/22x7/22x11cm^3
=31.5cm^3
Thus we get the volume of the cylinder is 31.5cm^3
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