The diameter of a metallic sphere is 6 cm. It is melted and drawn into a wire having diameter of the cross-section as 0.2 cm. Find the length of the wire.
Radius of a metallic sphere (r) = 6 cm/2 = 3 cm
Radius of the cross section (R) = 0.2 cm/2 = 0.1 cm
Volume of a cylinder = Volume of a metallic sphere
π R2h =
π r3
(0.1)2h =× 33
h =
= 3600 cm = 36 m
Therefore the length of the wire is 36 m.
Radius of the cross section (R) = 0.2 cm/2 = 0.1 cm
Volume of a cylinder = Volume of a metallic sphere
π R2h =
π r3(0.1)2h =
× 33h =
= 3600 cm = 36 mTherefore the length of the wire is 36 m.
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