Part 3: Application Archimedes wants to verify that the crown entrusted to him by King Hieron II is indeed gold. For this it measures the mass and the volume of the crown. The king's crown weighs 6.3 kg. Archimedes measured the volume of the crown by the technique of water displacement, it is 0.000290 m³ We also give the density of gold: por= 19300 kg/m³ a) Explain how Archimedes was able to measure the volume of the crown. b) Was King Hieron II fooled by the goldsmith who made the crown for him? (help: Calculate the density of the crown and compare it to that of gold)

Part 3: Application Archimedes wants to verify that the crown entrusted to him by King Hieron II is indeed gold. For this it measures the mass and the volume of the crown. The king's crown weighs 6.3 kg. Archimedes measured the volume of the crown by the technique of water displacement, it is 0.000290 m³ We also give the density of gold: por= 19300 kg/m³ a) Explain how Archimedes was able to measure the volume of the crown. b) Was King Hieron II fooled by the goldsmith who made the crown for him? (help: Calculate the density of the crown and compare it to that of gold)