 #1
sagigever
 25
 4
 Homework Statement:

King Hiero II of Syracuse suspected he was being cheated by the goldsmith to whom he
had supplied the gold to make a crown. He asked Archimedes to find out if pure gold has
been substituted by the same weight of electrum (alloy of gold and silver). Archimedes
solved this problem by weighing the crown first in air and then in water. Suppose the
weight of crown in air was 740 g and in water 690 g. What should Archimedes have told
the king? Density of gold is 19.3 g/cm
 Relevant Equations:
 ##\rho = \frac{m}{v}##
I have the solution for this problem but I did not understand the following statement:
The mass of water the crown displaced is ##m = 740 690= 50 g##. Therefore the volume of the crown is ## 50 cm^3##
how can I conclude the volume of the crown from that displacement?
The mass of water the crown displaced is ##m = 740 690= 50 g##. Therefore the volume of the crown is ## 50 cm^3##
how can I conclude the volume of the crown from that displacement?