An empty measuring flask has a mass of

PHYSICS · Subjective · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

45.2\,\text{g}\,\pm0.1\,\text{g}

. Filled with an oil, the mass becomes

125.4\,\text{g}\,\pm0.1\,\text{g}

. The oil occupies a cylindrical volume of radius

r=2.50\,\text{cm}\,\pm0.02\,\text{cm}

and height

h=5.00\,\text{cm}\,\pm0.05\,\text{cm}

. Calculate the density of the oil and its percentage uncertainty, quoting the density with the correct significant figures.