Discussion
A copper sphere of diameter 12 cm is drawn into a wire of diameter 8 mm. What will be the length of the wire?
Answer: C
The wire is 18 m long. The volume of the sphere equals the volume of the wire. Radius of the sphere 6 cm, radius of the wire 0.4 cm: \[ \frac{4}{3}\pi(6)^{3} = \pi(0.4)^{2}h \] \[ 288 = 0.16h \Rightarrow h = 1800 \text{ cm} = 18 \text{ m} \]
The other options come from using the wire diameter as the radius or slipping a unit.
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