Question

A spherical steel ball has a mass of 3.475 g and a diameter of 9.40 mm. what is the density of the steel? ( The volume of a sphere is $(4/3)\pi r^{3}$ where r is the radius)

Answer 1

Answer:

Step-by-step explanation:

The formula for determining the volume of a sphere is given as

Volume = (4/3) πr³

where r is the radius and π is a constant whose value is 3.14

From the information given,

Diameter = 9.4 mm

Radius = diameter/2 = 9.4/2

= 4.7 mm

Volume of sphere = 4/3 × 3.14 × 4.7³

= 434.67 mm³

The formula for determining density is expressed as mass/volume

Mass = 3.475 g

Density = 3.475/434.67 = 0.008g/mm³