Teh diameter of a sphere is 6 cm. It is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire.
Diameter of a sphere =6cm∴Radius(r)=62=3cmVolume=43πr3=43π(3)3cm343×π×3×3×3=36πcm3
Diameter of wire drawn = 0.2 cm
∴ Radius (r1)=0.1cm=110cm
Let Length of wire = h
∴(110)2h=36⇒1100h=36h=36×100=3600cm=3600100m=36m∴Length of wire=36m