Find the length of 13.2 kg copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
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Answer:
1 cubic.cm...8.4÷1000kg
?...............13.2kg
13.2×1×1000÷8.4
volume= 1571.43cub.cm
d=4mm
=4÷10cm
=0.4cm
r=0.2cm
v=22r^2h÷7
1571.43=22×0.2×0.2×h÷7
h=1571.43×7÷(22×0.2×0.2)
h=12500cm approx
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1
The length of the wire is 125m.
Weight of copper wire = 13.2 kg (Given)
Weight of 1 cubic cm wire = 8.4 gm (Given)
Diameter of wire = 4 mm (Given)
Radius of wire = 4/2 = 2mm
Converting into cm = 2/10 = 0.2cm
Let length of wire = h cm
Volume of wire = πr²h
= 22/7 × 0.2 × 0.2 × h
= 11000/7
h = 12500cm
h = 125m
Thus, the length of the wire is 125m.
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