The diameter of a copper solid sphere is 6 cm. The sphere is melted and recast into a wire. If the diameter of the wire is 0.5 cm, then what is the length of the wire?
A.5.24 m
B.5.36 m
C.5.76 m✓ Correct
D.5.96 m
Explanation
Volume of sphere = (4/3)π(3)³ = 36π cm³. Volume of wire (cylinder) = π(0.25)²h = π(0.0625)h. Equating: 36π = 0.0625π × h, so h = 36/0.0625 = 576 cm = 5.76 m.
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