so first find the volume of the spere and the volume of the core then subtract the core from the squarere
so
volume of squrere formula 4/3pi times radius^3
diameter=2radius
diameter/2=radius
8.5/2=radius=4.25
4/3 times pi times 4.25^3=321.39
inner core= 4/3 times pi times r^3
diameter/2=6/2=radius=3
4/3 times pi times 3^3=113.04
subtract
sphere-core=321.39-113.04=208.352
round to 1 decimal place
208.4 in^3
the answer is 208.4 cubic inches