A copper wire 3 mm in diameter is rounded about a cylinder whose lengths is 1.2 m and
diameter is 10 cm. So as to cover the curved surface of the cylinder. The length of the wine is
[UP NTSE 2014)
b) 1256
c) 12.56m
d) 1.256 m
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Answered by
3
Answer: b ) 1256
Length of the wire = 1256 cm
One round of copper wire will cover 3 mm or 0.3 cm height of cylinder.
Number of rounds = Height of the cylinder/diameter of the wire
= 12/0.3
= 40 rounds
Now,
The length of the wire required in one round = Circumference of the base of the cylinder
Diameter of the cylinder = 10 cm, so the radius = 5 cm.
circumference = 2πr
= 2*π*5
Length of wire required in one round = 10π
Length of wire required in 40 rounds = 10π*40
= 400*3.14
= 1256
Length of the wire = 1256 cm
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2
Answer:
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