Problem: 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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FREE Expert Solution

Density is defined as the mass of a substance contained per unit volume. In simpler words, density is a characteristic property of matter that defines how heavy or light it is. Heavier substances have greater densities than lighter substances.


The formula for density is:


<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi>e</mi><mi>n</mi><mi>s</mi><mi>i</mi><mi>t</mi><mi>y</mi><mo>&#xA0;</mo><mo>=</mo><mfrac><mrow><mo>&#xA0;</mo><mi>m</mi><mi>a</mi><mi>s</mi><mi>s</mi></mrow><mrow><mi>v</mi><mi>o</mi><mi>l</mi><mi>u</mi><mi>m</mi><mi>e</mi></mrow></mfrac></math>


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Problem Details

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)?