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6 August, 23:41

A cast iron paperweight is in the shape of a half-sphere with a diameter of 8.2cm. The cast iron has a density of 7.3g/cm^3. What is the mass of the paperweight, in grams?

a. 16860

b. 8430

c. 1054

d. 2107

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Answers (1)
  1. 7 August, 00:08
    0
    Answer: C

    1054 g

    Explanation:

    Given that the object is in the shape of semi sphere with diameter of 8.2cm. And density of 7.3g/cm^3.

    From definition of density,

    Density = mass/volume

    Volume of a half - sphere = 2/3πr^3

    Volume = 2/3 * 3.143 * 4.1^3

    Volume = 144.35 cm^3

    Let make mass the subject of formula

    Mass = Density * volume

    Mass = 7.3 * 144.35

    Mass = 1053.74g

    The mass of the paperweight, in grams is 1054
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