The density of lead is 11.4 g/cm³. The mass of a lead ball with a radius of 0.50 mm is ________ g. (π = 3.1416; V_sphere = 4πr³/3) A)6.0 B)4.6 × 10^-2 C)4.6 × 10^-5 D)6.0 × 10^-3 E)4.6

Question

Quizplus · Accepted Answer

We can use the formula for the volume of a sphere to find the volume of the lead ball: V_sphere = 4πr³/3 V_sphere = 4π(0.50 mm)³/3 (convert radius to cm) V_sphere = 0.5236 cm³ Next, we can use the density of lead to find the mass: density = mass/volume mass = density x volume mass = (11.4 g/cm³) x (0.5236 cm³) mass = 5.97 g Rounding to two significant figures, the mass of the lead ball is 6.0 g, which corresponds to choice D.

The Density of Lead Is 11