Density, volume and displacement?
Canadian 10¢ and 25¢ coins are made of pure nickel which has a density of 8.902 g/cm3. Suppose each dime weighs 2.06 g and each quarter weighs 5.15 g. A small collection of dimes and quarters are submerged in 10.00 mL of water in a graduated cylinder causing the water level to rise to the 16.13 mL mark. What is the combined monetary value (in Can$) of those coins?
The value of the coins is $0.25 per 5.15 g or $1.00 per 20.6 g . The volume of the coins is found by displacement to be 16.13 - 10.00 = 6.13 cc . The mass of that volume of nickel is: 6.16*8.902 = 54.84 g The value is therefore: 54.84 / 20.6 = $2.66 . This must be rounded to $2.65 , since it is not possible for a combination of dimes and quarters to have value $2.66.