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Question
A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. Find the length of the wire.
Solution
We have,
Radius of the sphere,` "R" = 18/2 = 9 "cm"` and
Radius of the wire, `"r" = 4/2 = 2 "mm" = 0.2 "cm"`
Let the length of the wise be l.
Now,
Volume of the wire = Volume of the copper sphere
`=> pi"r"^2"l" = 4/3 pi"R"^3`
`=> "l" = (4"R"^3)/(3"r"^2)`
`=> "l" =(4xx9xx9xx9)/(3xx0.2xx0.2)`
∴ l = 24300 cm = 243 m.
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