Asked by Barb
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?
Answers
Answered by
Reiny
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
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
Answered by
Barb
That you so much. Archimedes is probably turning over in his grave!!
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