if the balls are made of solid gold (density 19.3g/cm^3 ). She suggests forming the gold into hollow balls instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15g/cm^3 ). One of the balls of fake "iron ore," sliced in half. Calculate the required thickness of the walls of each hollow lump of "iron ore."
Mrs. smith, a gold miner, intends to smuggle several tons of gold across international borders by disguising it as lumps of iron ore. She commands her engineer workers to form the gold into little spheres with a diameter of exactly 8cm and paint them blue. However, her chief worker points out that customs officials will surely notice the unusual weight of the "iron ore" if the balls are made of solid gold (density 19.3g/cm^3 ). She suggests forming the gold into hollow balls instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15g/cm^3 ). One of the balls of fake "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 significant digits.
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