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30 December, 05:39

A cylinder rod formed from silicon is 46.0cm long and has a mass of 3.10kg. The density of silicon is 2.33g/cm3. what is the diameter of the cylinder?

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  1. 30 December, 09:13
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    Density is a physical property which describes the mass of a substance per unit of volume of the substance. It is expressed as Density = m / V and it has units like g/cm^3. To determine the diameter of the cylinder, we use the definition of density. We first calculate the volume from density as follows:

    Density = mass / volume

    Volume = mass / density

    Volume = 310 g / 2.33 g/cm^3

    Volume = 133.15 cm^3

    Volume of a cylinder is equal to the product of pi, square of the radius of the base and the height. It is expressed as follows:

    Volume = πr^2h

    We calculate for the radius, r, which is equal to one half the diameter.

    r = √ (Volume / πh)

    r = √133.15 / π (46)

    r = 0.9595 cm

    Diameter = 2r = 2 (0.9595) = 1.92 cm
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