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Question
66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.
Solution
We have,
Radius of wire, `"r" = 1/2 = 0.5 "mm"`
Let the length of the wire be l .
As,
Volume of the wire = 66 cm3
`=> pi"r"^2"l" = 66`
`=> 22/7xx0.05xx0.05xx"l" = 66`
`=> "l" = 66xx(7)/(22xx0.05xx0.05)`
∴ l = 8400 cm = 84 m
So, the length of the wire is 84 m.
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