the diameter of copper sphere is 18 cm . It is melted and drawn into a long wire of uniform cross sectin . If the lenth of wirevis 108 m , find its diameter
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ans : Diameter : 0.06cm. procedure: Diameter of sphere is 18 cm. Radius is 9cm. Volume of sphere is (4π(9)^3)/3=972π square cm.
Since volume is constant even after melting
The volume of long wire is also 972π square cm
Length of wire is 108 m=10800 cm.
The long wire is assumed to be cylinder.
So volume =π×r×r×h=972π
But h =10800 cm
r×r=972π/10800π=0.09
r=√0.09=0.03 cm
d=2r=2(0.03)=0.06 cm
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