What is the density of a roll of pennies containing 50 pennies?

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What is the density of a roll of pennies containing 50 pennies?

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Nho 4 years 2021-07-13T01:11:31+00:00 1 Answers 22 views 0

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  1. Jezebel
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    2021-07-13T01:13:18+00:00
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    Answer:

    Density is defined as:

    Density = Mass/Volume

    Now, density is an intensive property, this means that if you have 10 grams of a given material or 1000 grams of the same material, in both cases you will find the same density.

    Then a roll of 50 pennies has the same density that a single penny.

    The measures of a single penny are:

    Mass = 2.5 g

    Thickness = 1.52 mm

    Radius = 9.525 mm

    The coin is a cylinder, and the volume of a cylinder is:

    V = pi*r^2*h

    where:

    pi = 3.14

    r = radius = 9.525mm

    h = thikness = 1.52mm

    The volume is:

    V = 3.14*(9.525mm)^2*1.52mm = 433.015 mm^3

    The density will be:

    D = 2.5g/433.015mm^3 = 0.00577 g/mm^3

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