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.)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects. Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Hatfield's class at UIC.