Gold, which has a density of 19.32 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 2.857 g, is pressed into a leaf of 2.790 µm thickness, what is the area (in m^2) of the leaf?
(b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.600 µm, what is the length (in m) of the fiber?