Math CentralQuandaries & Queries


Question from Renee, a student:

I have a silver figurine, the density of silver is 10.5g/cm3. if the figurine weighed 149 g. to determine the volume, he dropped it into a cylindrical glass of water. the diameter of the glass is 6 cm and the figurine was pure silver, by how much should the water level in the glass rise?

Hi Renee,

The figurine has a density of 10.5 grams per cubic centimeter and weighs 14.9 grams. What is its volume in Cubic Centimeters?

The volume of a cylinder of radius $r$ centimeters and height $h$ centimeters is $\pi \; r^2 h.$ You have a cylinder of radius 3 centimeters. What height $h$ will give you the volume you found in the first paragraph of my response?


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