The ** volume of a sphere** is given by:

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

Volume of nucleus:

$\mathbf{V}\mathbf{=}\frac{\mathbf{4}}{\mathbf{3}}\mathbf{\pi}{\mathbf{(}\mathbf{2}\mathbf{.}\mathbf{7}\mathbf{}\overline{)\mathbf{fm}}\mathbf{\times}\frac{{\mathbf{10}}^{\mathbf{-}\mathbf{15}}\overline{)\mathbf{m}}}{\mathbf{1}\mathbf{}\overline{)\mathbf{fm}}}\mathbf{\times}\frac{\mathbf{1}\mathbf{}\mathbf{cm}}{{\mathbf{10}}^{\mathbf{-}\mathbf{2}}\overline{)\mathbf{m}}}\mathbf{)}}^{\mathbf{3}}$

Carbon-12 contains 6 protons and 6 neutrons. The radius of the nucleus is approximately 2.7 fm (femtometers) and the radius of the atom is approximately 70 pm (picometers).

Calculate the volume of the nucleus and the volume of the atom. (Assume two significant figures.)

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