- #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?