Solving Uncertainty in Lab Report Calculation

[AstroKeith]

Hello, I am working on a lab report and am unsure about how to express the uncertainty of one of my calculations.

I am calculating the volume of a cylindrical disk with
height = 0.0258 ± 0.0001 m
radius = 0.0767 ± 0.0002m
Using V=π(r^2)h and the upper/lower bound method, I find:
V= 0.000476205
Uncertainty = ± 0.00000309393
V =4.76⋅10^-4 ± 3.09⋅10^-6

How would I properly express this uncertainty since it is out more decimal places than my answer?

 

[DrClaude]

V =4.76⋅10^-4 ± 3.09⋅10^-6

How would I properly express this uncertainty since it is out more decimal places than my answer?

I would use
V = 4.76×10^-4 ± 0.03×10^-4 m³
or (even better in my opinion)
V = (4.76 ± 0.03) × 10^-4 m³