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- Please answer questions 4a, 4b, and 4c. The questions are provided in the attached image. Thank you.Archimedes, a famous Greek scientist, was given a problem by King Hieron II of Syracuse (Sicily). The king suspected that his crown, which was supposed to be made of pure gold, contained some silver alloy, and he asked Archimedes to prove or disprove his suspicion. (It turned out that the crown did not contain silver.) How would you experimentally determined whether or not the crown was pure gold? (Hint: The method came to Archimedes when getting into a full bathtub. See the footnote in Experiment 22 for Archimedes’ solution.)pls help! (all 3 are part of the same question) thank you so much!