To find the volume of a cylinder using the following formula:
[tex]V=\pi\cdot r^2\cdot h[/tex]Replace for the given value, remember that the radius is half the diameter.
[tex]\begin{gathered} V=\pi\cdot(\frac{12}{2})^2\cdot4 \\ V=\pi\cdot6^2\cdot4 \\ V=\pi\cdot36\cdot4 \\ V=452.39 \end{gathered}[/tex]The volume of the cylinder is 452.39 cubic yards.