Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black. However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density 19.3 g/cm). He suggests forming the gold into hollow balls One of the balls of fake instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm'). "iron ore," sliced in half.

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Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders
by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with
a diameter of exactly 8 cm and paint them black.
However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron
ore" if the balls are made of solid gold (density 19.3 g/cm). He suggests forming the gold into hollow balls
One of the balls of fake
instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm).
"iron ore," sliced in half.
Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your
answer has a unit symbol, if necessary, and round it to 2 significant digits.
Transcribed Image Text:Mr. Auric Goldfinger, criminal mastermind, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. He commands his engineer minions to form the gold into little spheres with a diameter of exactly 8 cm and paint them black. However, his chief engineer points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density 19.3 g/cm). He suggests forming the gold into hollow balls One of the balls of fake instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm). "iron ore," sliced in half. Calculate the required thickness of the walls of each hollow lump of "iron ore." Be sure your answer has a unit symbol, if necessary, and round it to 2 significant digits.
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