The volume of a cone is:
[tex]V_{cone}=\dfrac{1}{3}\pi r^2h,[/tex] where r is base's radius, h is cone's height.
If diameter is 9 in, then radius is 4.5 in and
[tex]V_{cone}=\dfrac{1}{3}\pi (4.5)^2\cdot 15=101.25\pi.[/tex]
Answer: [tex]V_{cone}=101.25\pi.[/tex]