Question

A fluid moves through a tube of length 1 meter and radius r=0.003±0.0002 meters under a pressure p=5⋅105±1250 pascals, at a rate v=0.75⋅10−9 m3 per unit time. Use differentials to estimate the maximum error in the viscosity η given by

η=(π/8)*(pr^4)/(v)

maximum error=