The density of lead is 11.4 g/cm³. The mass of a lead ball with a radius of 0.50 mm is __________ g. 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

The volume of the lead ball can be calculated using the formula for the volume of a sphere:

V = (4/3)πr^3

Plugging in the given radius of 0.50 mm (which is 0.050 cm in units that match the density given), we get:

V = (4/3)π(0.050 cm)^3

V = 5.24 x 10^-5 cm^3

To find the mass, we can use the density formula:

density = mass/volume

rearranging this to solve for mass, we get:

mass = density x volume

Plugging in the given density, we get:

mass = (11.4 g/cm^3)(5.24 x 10^-5 cm^3)

mass = 6.0 x 10^-4 g

So, the answer is D: 6.0 x 10^-3 g (expressed in scientific notation).

The Density of Lead Is 11