Hint
There are multiple phases present in the data.
The form factor amplitude of a sphere with radius $r$ is the subunit you should use. It is:
$$
F_{sph}(q,r) = 3\frac{\sin(qr)-qr\cos(qr)}{(qr)^3}
$$
If you take the absolute square of this, you get the form factor:
$$
P(q,r) = |F_sph(q,r)|^2
$$
For later steps, you will also need the volume of a sphere with radius $r$, $V_{sph}(r) = 4\pi r^3/3$.