Archimedes (287-212 bce) was a greek scientist with many accomplishments. he is best - known from the legend of solving a problem given to him by king heron ii of syracuse (sicily).the king suspected that his crown, which was supposed to be made from pure gold, contained some silver alloy, and he asked archimedes to prove or disprove his suspicion. (it turned out the crown did contain silver.) according to a roman account, while pondering a question archimedes went to the baths and as he noticed the water flowing out upon immersion, he recognized a solution to the problem and run home shouting "eureka! " (greek for "i have found it.") it has also gotten him thinking about buoyancy, and the buoyant force, responsible for some objects' ability to float, is named after him. how would you experimentally determine whether or not the crown was pure gold?