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28 March, 10:24

A cylindrical glass tube 10.3 cm in length is filled with mercury (density = 13.6 g/mL). (The volume of a

cylinder of radius r and length his V = arh.) The mass of mercury needed to fill the tube is 106.3 g.

Calculate the inner diameter of the tube.

cm

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Answers (1)
  1. 28 March, 14:20
    0
    0.982 cm

    Explanation:

    Given dа ta:

    Density = 13.6 g/mL

    mass = 106.3 g

    volume = ?

    Formula:

    d=m/v

    v = m/d

    v = 106.3 g / 13.6 g/mL

    v = 7.816 mL

    Now we have to find the radius of tube:

    Formula:

    V = πr²h

    v = 7.816 ml

    π = 22/7 = 3.14

    h = 10.3 cm

    now we will put the values in formula:

    V = πr²h

    7.816 mL = 3.14 * r² * 10.3 cm

    7.816 / 32.342 = r²

    r² = 0.242 mL/cm

    r = 0.491 cm

    Formula for diameter is given below:

    diameter = 2 * radius

    diameter = 2 * 0.491 cm

    diameter = 0.982 cm
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