Halliday, Resnick & Walker — Measurement: Problem 22

Gold, which has a density of \(19.32 \text{ g/cm}^3\), is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of \(27.63 \text{ g}\), is pressed into a leaf of \(1.000\ \mu\text{m}\) thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius \(2.500\ \mu\text{m}\), what is the length of the fiber?