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10 June, 09:53

A cylinder rod formed from silicon is 16.8 cm long and has a mass of 2.17 kg. The density of silicon is 2.33 g/cm3. What is the diameter of the cylinder?

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  1. 10 June, 10:59
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    We are given the length, the mass and the density of the cylinder. First let us calculate for the volume by dividing the mass by the density.

    volume = mass / density

    where mass = 2.17 kg = 2170 g, therefore:

    volume = 2170 g / (2.33 g/cm^3)

    volume = 931.33 cm^3

    We know that the volume of a cylinder has the formula:

    volume = π r^2 h

    since h = 16.8 cm, therefore calculating for radius:

    931.33 cm^3 = π r^2 (16.8 cm)

    r^2 = 17.646 cm^2

    r = 4.2 cm

    Hence the diameter (d) is:

    d = 2 r

    d = 8.4 cm
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