While rummaging, Bernard found a figurine that he believed to be made out of silver. To test his guess, he looked up the density of silver and found it to be 10.5g/cm^3. The figure had a mass of 149 g. To determine its volume, he dropped it into a cylindrical glass of water. If the diameter of the glass was 6 cm and the figurine was pure silver, by how much did the water level in the glass rise?

Question

While rummaging, Bernard found a  figurine that he believed to be made out of silver. To test his guess, he looked up the density of silver and found it to be 10.5g/cm^3. The figure had a mass of 149 g. To determine its volume, he dropped it into a cylindrical glass of water.  If the diameter of the glass was 6 cm and the figurine was pure silver, by how much did the water level in the glass rise?

Reiny · Answer

Archimedes would have been proud of you ...

The figure would replace (rise of water) its own volume of water.

volume of figurine = 149 g/(10.5 g/cm^3)
= 14.190476... cm^3

volume of water in cylinder = πr^2 h
= π(3^2)h

9πh = 14.19047..
h = 14.19047../(9π) = appr .502 cm
about 1/2 a cm

Barb · Answer

That you so much. Archimedes is probably turning over in his grave!!