The volume of a cylinder is given as:
[tex]V=\pi r^2h[/tex]where r is the radius and h is the height. In this case the radius is 4.5 in (half the diameter) and the height is 15 in. Plugging this values we have:
[tex]V=(3.14)(4.5)^2(15)=953.78[/tex]Therefore the volume is 953.78 cubic inches.