Calculate the density and the uncertainty of an Al cylinder using the following data.

Question

Calculate the density and the uncertainty of an Al cylinder using the following data.

Metal
Mass (g)	17.7706
Length (cm)	5.00
Diameter (cm)	1.35

Assume experimentally measured quantities have uncertainties of ±1 of the most precise digit.

Answer 1

density = mass/volume

mass = 17.7706 g

volume = π r² h = volume of a cylinder = (3.1416)(1.35 cm/2)(5.00 cm) = 7.1570 cm³

density = mass/volume = 17.7706g / 7.1570 cm³ = 2.4830 g/cm³