Mwasuring the Density of Metal Cylinders (Pracite the caculation of Incertainly)

1. Measre the diameter of each cylinder. d
2. Measure the hight of each cylinder.  h
3. Measure the mass of each cylinder. m

copper
d=1.26±0.01cm
h=5.00±0.01cm
m=56.6±0.1g

aluiminum
d=1.43±0.01cm
h=4.83±0.01cm
m=21.0±0.1g

brass
d=1.59±0.01cm
h=4.8±0.01cm
m=18.1±0.1g

ρ=4m/πd^2h
dρ=I∂ρ/∂mI*dm+I∂ρ/∂dI*dd+I∂ρ/∂hI*dh
devide left side by ρ.
devide right side by 4m/πd^2h.
dρ/ρ=dm/m+2dd/d+dh/h

then the density of each metal is:
copper:            9078.53±0.02kg/m^3
aluiminum:  2707.14±0.02kg/m^3
brass:      1899.12±0.02kg/m^3