The diameter of metallic sphere is 6cm. The sphere is melted and drawn into a wire of uniform cross-section. If the lengths of the wire is 36m, find its radius.
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Solution
We have Diameter of the sphere =6cm
∴ Radius of the sphere=62=3cm
Volume of the sphere =43×π×33cm3=36πcm3[V=43π33]
Let the radius of the cross-section of wire be r cm
It is given that the length of the cylindrical shaped wire is 36m
∴ Volume of the wire =(πr2×3600)cm3[V=πr2h]
since metallic sphere is converted into cylindrical shaped wire. Therefore, Volume of the wire = Volume of the sphere