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a solid copper sphere of radius 3cm is melted and electric wire of diameter 0.4cm is made out of the copper obtained. find the length of wire?

 Dec 5, 2017
 #1
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plz answer .. 

 Dec 5, 2017
 #2
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The sphere and the wire will have the same volume.

 

volume of sphere  =  4/3 * pi * 33  =  4/3 * pi * 27  =  36pi

 

volume of wire  =  area of cross section * length  =  pi * (0.4/2)2 * length  =  0.04pi * length

 

volume of sphere  =  volume of wire

36pi  =  0.04pi * length                       Divide both sides of this equation by  0.04pi .

900  =  length

 

So the wire's length is  900 cm .

 Dec 5, 2017

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