Write the density and its associated uncertainty of a cylinder

AI Thread Summary
The volume of the cylinder is calculated using the formula V = L * π * R^2, resulting in 0.00000933716 m³. The density is determined by the mass divided by the volume, yielding a density of 0.0000008288 kg/m³. Uncertainty calculations involve using the formula ΔZ = ΔX * Y + ΔY * X, leading to an uncertainty of 0.17 for density. Further refinement of uncertainty gives ΔZ = (0.01/7.99 + 0.01/9.337) * 0.856, resulting in a final uncertainty of 0.002. The calculations provide both the density and its associated uncertainty for the cylinder.
Minou
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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
 
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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
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

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