The shape is a cylinder.
The volume of a cylinder is given as:
[tex]\begin{gathered} V=\pi\times r^2\times h \\ \text{where 'r' represents the radius and 'h' represents the height.} \end{gathered}[/tex]From the question, the radius, r=5 miles, and the height, h=11 miles.
Thus, we have:
[tex]\begin{gathered} V=3.14\times5^2\times11 \\ V=3.14\times25\times11 \\ V=863.5miles^3 \end{gathered}[/tex]Hence, the correct option is Option A.