The Nucleus of a Certain Atom Has a Radius of 4.0

Multiple Choice

The nucleus of a certain atom has a radius of 4.0 × 10^-15 m. An electron orbits the nucleus at a radius of 1.5 × 10^-10 m. Imagine the electron orbit is on the surface of a sphere and that the shape of the nucleus is spherical. Approximately how many nuclei would fit into the sphere on which the electron orbits?

A) 5.3 × 10¹³
B) 4.9 × 10¹¹
C) 1.4 × 10⁹
D) 7.5 × 10⁷
E) 3.8 × 10⁴