A steel ball-bearing with a circumference of 32.5 mm weighs 4.20 g. What is the density of the steel in g/cm³ (V of a sphere = 4/3 πr³ circumference of a circle = 2πr )?

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The density of the sphere is 0.0713 g/cm^3.

What is density?

The density of a substance indicates how dense it is in a particular area. Mass per unit volume is the definition of a material's density. In essence, density is a measurement of how closely stuff is packed. It is a special physical characteristic of a certain thing.

The Greek scientist Archimedes made the discovery of the density principle. If you are familiar with the formula and the relevant units, calculating density is simple. The letter D can also be used to signify density instead of the symbol.

The circumference of the sphere = 32.5 mm

2 (pi) r

2 × 22/7 × r = 32.5

44/7 × r = 32.5

44 × r = 32.5 × 7

44 × r = 227.5

r = 227.5/44

r = 5.2

Now, V = (4/3) (pi) r^3

V = 4/3 × 22/7 × (5.2)^3

V = 4/3 × 22/7 × 140. 608

V = 589. 21 mm

V = 58.921 cm^3

Density = 4.20/58.92

D = 0.0713 g/cm^3

Therefore, the density is 0.0713 g/cm^3.

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