The volume of a copper cylinder is 5 dm3. What is his mass?

The volume of a copper cylinder is 5 dm3. What is his mass?

copper density (p) = 8,900 kg / m3


Solution

From the density formula:


p = m / V


p = density
m = mass
V = volume



We apply the formula for density:


p = m / V


We replace the numerical values for copper density (p) from the substance density table and copper volume (V) in the formula and we have:


8.900 kg / m3 = m / 5 dm3


We know that:

1 m3 = 1000 dm3 = 1,000,000 cm3


so we are converting dm3 into m3


5 dm3 = 0.005 m3 =>

8,900 kg / m3 = m / 0,005 m3

m = 8.900 kg / m3 * 0.005 m3

m = 44.5 kg


So the mass of copper cylinder (m) is 44.5 kg


Mechanics

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