we have that
the volume of a cylinder is equal to
[tex]V=\pi\cdot r^2\cdot h[/tex]we have
r=6/2=3 in
h=12 in
pi=3.14
substitute given values
[tex]\begin{gathered} V=3.14\cdot3^2\cdot12 \\ V=339.12\text{ in3} \end{gathered}[/tex]the answer is option C