Let's begin by listing out the given information:
Length (l) = 10 in,
Diameter (d) = 8 in; radius (r) = d/2 = 8/2 = 4 in
pi = 3.14
The volume of a cylinder is calculated thus:
[tex]\begin{gathered} V=\pi r^2l \\ V=3.14\times4^2\times10 \\ V=502.4in^3 \end{gathered}[/tex]