Archimedes

1
Archimedes
The Gold Crown              
                        
2
Archimedes

• King
• Is my crown pure gold
• If its the same material
• Equal mass should have
• the Equal volume

3
The Story of Archimedes

• In 247 BC Archimedes (Greek mathematician) was
  ordered by King Hieron to determine if his new
  crown was pure gold.
• The King suspected that the goldsmith Aurus
  Anvil pilfered some of the gold and replaced it
  with silver when he made the new crown.
• Archimedes was told not to damage the crown
  during this process in case it was pure gold.
• Archimedes figured out how to non-destructively
  test the crown while bathing. He ran in the
  street naked shouting Eureka (which means in
  Greek I figured it out).
• Archimedes proved that the crown was not pure
  gold by taking a mass of pure gold equal to that
  of the crown placing them separately in water
  and measuring the weight of water displaced.
• The water displaced by each should be identical
  if the crown was pure gold.
• The water displaced was not identical.
• Aurus Anvil was executed.

4
Archimedes Principle

• Mass of a floating object is equal to the mass of
  the water it displaces.

5
Volume Displacement
6
Volume Displacement Can