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Archimedes is said to have discovered the buoyancy rules, which are called Archimedes' principle, when he was asked by the King of Syracuse in Sicily to determine whether a crown was pure gold, as the goldsmith said, or was an alloy. Suppose that in testing the crown Archimedes found that in air it had a weight of 5.0N and a weight of 4.725N in water. - What percentage by volume of the crown was gold? Assume that the crown was made of gold or silver or an alloy of both. The density of gold-silver alloys is alloy=silver+( vol. \% gold )100goldsilver. The densities of gold and silver are 19.3g/cm3 and 10.5g/cm3, respectively