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?
+9481 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 .
