A 1959 penny has a diameter of 19.55 mm, a thickness of 1.55 mm, and a mass of 2.500 g. What is its density? A) 5.37 × 10³ kg/m³ B) 21.5 × 10³ kg/m³ C) 1.34 × 10³ kg/m³ D) 2.68 × 10³ kg/m³ E) 1.86 × 10^-4 kg/m³

Question

Quizplus · Accepted Answer

The density of an object is its mass per unit volume. The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height. The radius of the penny is 19.55 mm / 2 = 9.775 mm, and the height is 1.55 mm. So, the volume of the penny is V = π(9.775 mm)²(1.55 mm) = 464.5 mm³. The mass of the penny is 2.500 g. So, the density of the penny is ρ = m/V = 2.500 g / 464.5 mm³ = 5.38 × 10³ kg/m³.

A 1959 Penny Has a Diameter of 19