A copper sphere of diameter 12 cm is drawn into a wire of diameter 8 cm. Find the length of the wire.
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Correct answer: A
Explanation
Diameter of the sphere = 12 cm, Diameter of the wire = 8 cm
Radius of the sphere = 12/2 = 6 cm
Radius of the wire = 8/2 = 4 cm
Volume of the sphere = (4/3)π(6³) = (4/3)π × 216 = 288π
Volume of the wire = π(4²)L = 16πL
288π = 16πL
L = 288 / 16 = 18 cm