Final answer:
The question revolves around calculating the density of a cylinder by first determining its volume using the formula V = πr²h, then calculating density with Density (d) = mass (m) / volume (V), incorporating dimensional analysis for unit conversion.
Step-by-step explanation:
The subject of the question pertains to the calculation of cylinder density which involves using the formula Density (d) = mass (m) / volume (V). The volume of a cylinder can be calculated using the formula V = πr²h, where 'r' represents the radius of the cylinder's base and 'h' represents its height. Once the volume is determined, the density can be calculated by dividing the mass of the cylinder by its computed volume. When dealing with uncertainties in these calculations, particularly in multiplication and division, dimensional analysis is crucial to ensure that units are correctly converted and cancel appropriately. This analysis is particularly important when working with derived units, such as areas or volumes which involve squared or cubed units.