A rectangular piece of paper with length 15 cm was rolled into a cylinder along its length . If the lateral surface area of the cylinder so formed is 120 sq. cm then , width of the paper is
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Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm × 10 cm along its length and also along its breadth.
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The volume of a cylinder is equal to the area of the circular base times the height:
V=(A)(H)
or
V=(πR2)(H) ————- equation 1
The height of the cylinder will be the length of the long side of your paper, so H=25cm . Now we need the radius of the circular base.
The width of the paper will equal the circumference of the circle which forms the base of the cylinder. Use this to determine the radius of the circle:
Circumference = 2πR
∴ 14cm=2πR
or
R=142π=7π cm.
Plug this into equation 1 (above):
V=π(7π)2(25)=(49)(25)π=389.9 cm3
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