The snowman's head has the shape of a sphere.
If the diameter is 18, then the radius is 18/2 = 9 in
The volume of a sphere is computed as follows:
[tex]V=\frac{4}{3}\pi r^3[/tex]where r is the radius. Replacing with r = 9:
[tex]\begin{gathered} V=\frac{4}{3}\pi9^3 \\ V=972\pi \\ V=3053.63in^3 \end{gathered}[/tex]