How do I find the volume of a circle when given only the circumference? And what are 'in terms of pi'?

I assume, the area ##S=233pi## is given, not circumference. Then ##V~~4742.12pi##

In terms of given circumference ##C##, ##V=C/(6pi^2)##

The formula for volume of a sphere of a radius ##R## is ##V=4/3piR^3##

The formula for area of a sphere of the same radius is ##S=4piR^2##

Given the surface area, we can find a radius from the last formula: ##R=sqrt(S/(4pi))= sqrt((233pi)/pi)=sqrt(233)##

Now we can fund volume: ##V=4/3piR^3=4/3pi(sqrt(233))^3~~4742.12pi##

If, instead of an area, circumference of the equator (the largest circle on a surface of a sphere) is given, the calculations are: ##C=2piR## ##R=C/(2pi)## ##V=4/3piR^3=4/3pi(C/(2pi))^3=4/3piC^3/(8pi^3)=C^3/(6pi^2)##