Volume of a sphere is
4/
3 π
r
3, check.
Diameter of ball bearing 10mm, so radius is 5mm = 0.5 cm, check.
Density of steel, about 8 grams/cm
3. Mild steel is supposed to be 7.7 g/cc, another source has various steels ranging from 7.75 to 8.05. 8 is close enough.
Conversion to Imperial units, 28.3495231 grams per ounce, check.
4/
3 π
0.5
3 x 8 works out to 4.19 grams which is 0.148 ounces.
.38 calibre is 0.38 inches, 2.54 cm per inch makes that 9.652 millimeters which is close enough to 10mm. You're right about that part, Curious_Aardvark. But they are just a bit over 4 grams each.
Of course, if I had a few of those ball bearings I guess I could have just weighed them...