1 A Greek scientist called Archimedes was asked to check the purity of the gold in a crown. He did this by comparing the density of the crown with the
density of pure gold.
a Describe how he could have measured the density of an irregular-shaped
object such as a crown.
b Pure gold has a density of 19 000 kg/m?. Suppose the crown had a
volume of 0.0001 m. What mass should the crown be if it is made of
pure gold?