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30 September, 19:48

A thief plans to steal a gold sphere with a radius of 28.5 cm from a museum. if the gold has a density of 19.3 g/cm3, what is the mass of the sphere in pounds? [the volume of a sphere is v = (4/3) Ïr3.]

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  1. 30 September, 20:49
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    Radius of gold sphere radius r=28.5

    The volume of the sphere is = 4/3*3.14*r*r*r.

    =1.01*10^5 cm^3.

    The density of gold is 19.3 g/cm^3.

    The relation between the density, volume, and mass

    Density=Mass/Volume.

    1.95*10^6 g=Mass

    1.95*10^6 g * 0.0022 pounds

    4.29*10^3 pounds.

    Hence mass of the sphere is 4.29*10^3 pounds.
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