A solid right-circular cylinder has a measured mass of

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

A solid right-circular cylinder has a measured mass of 190±2 g190\pm 2\,\text{g}, a radius of 1.50±0.05 cm1.50\pm 0.05\,\text{cm}, and a height of 10.0±0.1 cm10.0\pm 0.1\,\text{cm}. Using these measurements, a student calculates the density of the material and its uncertainty. Given the following candidate materials and their tabulated densities, which material is most consistent with the experimental result? • Magnesium   (1.7 g/cm3)\;(1.7\,\text{g/cm}^3) • Aluminum   (2.7 g/cm3)\;(2.7\,\text{g/cm}^3) • Steel   (7.9 g/cm3)\;(7.9\,\text{g/cm}^3) • Lead   (11.3 g/cm3)\;(11.3\,\text{g/cm}^3) (a) Lead (b) Aluminum (c) Magnesium (d) Steel

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