# Problem: A hydrogen atom has a diameter of approximately 1.06 ✕ 10-10 m, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40 ✕ 10-15 mThe atom is how many times larger in volume than its nucleus?

###### FREE Expert Solution

The volume of a sphere:

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

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###### Problem Details

A hydrogen atom has a diameter of approximately 1.06 ✕ 10-10 m, as defined by the diameter of the spherical electron cloud around the nucleus. The hydrogen nucleus has a diameter of approximately 2.40 ✕ 10-15 m

The atom is how many times larger in volume than its nucleus?