A student wants to determine the density of an unknown metal by measuring the displacement in a graduated cylinder and using mass by difference. If the mass of an empty weighing jar is 23.4568 g and the mass of the jar with the metal inside is 36.8320 g, and the volume in the graduated cylinder increases from 5.70 mL to 12.30 mL, calculate the density with uncertainty. The uncertainty for a measurement on an analytical balance is
pm0.0001 g
and the uncertainty of in the graduated cylinder is
pm0.03 mL