Write the density and its associated uncertainty of a cylinder

[Minou]

Homework Statement

Need to find the volume and density of a cylinder with measurements, height=0.03378m diameter=0.01876m and mass=7.99g +/- 0.01 kg
And also its associated uncertainties.

Homework Equations

V=L*Pi*R^2
=0.00000933716m^3

p=M/V
=0.0000008288

The Attempt at a Solution

V=L*Pi*R^2
=0.03378*Pi*0.01876^2
=0.00000933716m^3

 

[Minou]

This is what i have for the uncertainty so far.

ΔZ=ΔX*Y+ΔY*X
Z=P X=M Y=V
ΔP=0.01(9.337)+0.01(7.99)
=0.17

ΔZ/Z=ΔX/X+ΔY/Y
ΔZ=(0.01/7.99+0.01/9.337)*0.856
=0.002