A Level Physics PowerPoint Presentation | Nuclear Size and Density
The most definitive information about nuclear sizes comes from electron scattering.
Comparisons of calculated and experimental radii for nuclei have made it clear that there is a "tail" where the density of nuclear matter decreases toward zero.
The nucleus is not a hard sphere.
The evidence points to a mass radius and a charge radius which agree with each other within about 0.1 fermi.