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The density of a cylinder having mass m, diameter D, and L is (4m)/pi*D^2*L. Assume that...

The density of a cylinder having mass m, diameter D, and L is (4m)/pi*D^2*L. Assume that m, D, and L have the following uncertainties:

ρ= 1.699 ± 0.010 kg (95%)

D = 0.050 ± 0.001 m (95%)

L=0.0100 ± 0.001 m (95%)

Estimate the uncertainty interval for the density at 95%

probability.

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