Physics

Problem

A solid cylinder is to be cast and its density calculated using

\rho = \dfrac{m}{\pi r^{2}h}

. The percentage uncertainties in the measurements are: • mass

m

0.5\%

• radius

r

1.2\%

• height

h

0.8\%

Which single measurement, if improved, would most effectively reduce the percentage uncertainty in the calculated density? a) Mass

m

b) All three contribute equally c) Radius

r

d) Height

h