# Problem: 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)πr3.]

###### FREE Expert Solution

We’re being asked to determine the mass of a sphere of gold (Au) given that it has a radius of 28.5 cm and a density of 19.3 g/cm3.

Recall that density is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the volume of a sphere is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

where:

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###### Problem Details

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)πr3.]