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)?

🤓 Based on our data, we think this question is relevant for Professor Dixon's class at UCF.

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)?

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Our tutors have indicated that to solve this problem you will need to apply the Density concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Dixon's class at UCF.

What textbook is this problem found in?

Our data indicates that this problem or a close variation was asked in Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition. You can also practice Chemistry: The Molecular Nature of Matter and Change - Silberberg 8th Edition practice problems.