density aluminum = 2.7 g/cm^{3}

1 in = 2.54 cm

calculate the volume of 86 g aluminum:

$\mathbf{V}\mathbf{=}\mathbf{86}\mathbf{}\overline{)\mathbf{g}}\mathbf{\times}\frac{{\mathbf{cm}}^{\mathbf{3}}}{\mathbf{2}\mathbf{.}\mathbf{7}\mathbf{}\overline{)\mathbf{g}}}\phantom{\rule{0ex}{0ex}}\mathbf{V}\mathbf{=}\mathbf{31}\mathbf{.}\mathbf{8518}\mathbf{}{\mathbf{cm}}^{\mathbf{3}}\mathbf{\times}{\left(\frac{1\mathrm{in}}{2.54\mathrm{cm}}\right)}^{\mathbf{3}}\phantom{\rule{0ex}{0ex}}\mathbf{V}\mathbf{=}\mathbf{31}\mathbf{.}\mathbf{8518}\mathbf{}\overline{){\mathbf{cm}}^{\mathbf{3}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}{\mathbf{in}}^{\mathbf{3}}}{\mathbf{16}\mathbf{.}\mathbf{387}\mathbf{}\overline{){\mathbf{cm}}^{\mathbf{3}}}}$

**V = 1.9437 in**^{3}

calculate radius:

A solid aluminum sphere has a mass of 86 g .

Use the density of aluminum to find the radius of the sphere in inches.

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