Answer :
the volume is
[tex]\begin{gathered} V=\pi\cdot r^2\cdot h \\ \text{where r = radius and h = height} \end{gathered}[/tex]to find the radius we use the measure of the circumference:
[tex]\begin{gathered} C=2\pi\cdot r \\ 16\pi=2\pi\cdot r \\ \frac{16\pi}{2\pi}=\frac{2\pi\cdot r}{2\pi} \\ r=8 \end{gathered}[/tex]the radius is 8 inches, so
[tex]V=\pi\cdot(8)^2\cdot6=\pi\cdot64\cdot6=384\pi^{}[/tex]answer: 384pi cubic inches