Hi - I have a problem about density. I have a cylidrical piece of metal with a l

Question

Hi - I have a problem about density. I have a cylidrical piece of metal with a length of 49.5 mm, adiameter of 12mm, and a mass of 55.2 grams. I need to findthe volume of this cylinder, convert it into centimeters, and thenfind its density. Once I find the density, I have to see if it is brass with adensity of 8.600 g/cm3 or copper with a density of 8.920g/cm3. I tried but my numbers aren't even close to the copper/brassnumbers. Please help!! Hi - I have a problem about density. I have a cylidrical piece of metal with a length of 49.5 mm, adiameter of 12mm, and a mass of 55.2 grams. I need to findthe volume of this cylinder, convert it into centimeters, and thenfind its density. Once I find the density, I have to see if it is brass with adensity of 8.600 g/cm3 or copper with a density of 8.920g/cm3. I tried but my numbers aren't even close to the copper/brassnumbers. Please help!!

Explanation / Answer

Volume of the cylinder , V = r^2 h where r = radius = diameter / 2 = 12 mm / 2              =6 mm             = 6 * 10^-3 m             = 6 * 10^-3 * 10^2 cm             = 0.6 cm h = height OR length = 49.5 mm    = 49.5 * 10^-3 m    = 49.5 * 10^-1 cm    = 4.95 cm So , V= 0.6^2 * 4.95 cm^3           =5.5983 cm^3 So Volume of the cylinder , V = 5.5983 cm^3 Given mass , m = 55.2 g Density , d = mass m / Volume V                  =55.2 g / 5.5983 g / cm^3
                = 9.86 g / cm^3

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