The radius of atom is of the order of 1 Å and radius of nucleus is of the order of Fermi. How many magnitudes higher is the volume of atom as compared to the volume of nucleus?

According to question,

Radius of nucleus is of the order 1 Fermi i.e.

We know,

From classical physics, the shape of atom and nucleus is considered to be spherical.

And we know that the volume of sphere =

So, we get that atom is times bigger than nucleus.