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66 Cubic Cm of Silver is Drawn into a Wire 1 Mm in Diameter. Calculate the Length of the Wire in Metres. - Mathematics

Sum

66 cubic cm of silver is drawn into a wire 1 mm in diameter. Calculate the length of the wire in metres.

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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 cm

`=> 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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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Exercise | Q 10 | Page 914
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