The volume of a sphere:
\(V=\frac{4}{3} \pi r^3\)
r - the radius
The diameter is twice the radius.
\(d=36 \ in \\
r=\frac{36}{2} \ in = 18 \ in \\ \\
V=\frac{4}{3} \pi \times 18^3=\frac{4}{3}\pi \times 5832=\frac{23328}{3} \pi=7776\pi \ [in^3]\)
The exact volume of the sphere is 7776π in³.