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?

Guest Dec 5, 2017

#2**+1 **

The sphere and the wire will have the same volume.

volume of sphere = 4/3 * pi * 3^{3} = 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 .

hectictar
Dec 5, 2017