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 "iron ore," sliced in half. instead (see sketch at right), so that the fake "iron ore" has the same density as real iron ore (5.15 g/cm'). 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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Steady State Model

The steady-state model typically states that the entire universe is always enlarging, although it balances a fixed average density and matter that is being constantly generated to make new galaxies, star forms at a similar rate that the previous ones get indistinguishable due to the growing range and velocity of recession.