The volume of a cone is given by
[tex]V\text{ = }\frac{1}{3}\pi\text{ r}^2\text{ h }[/tex]Diameter = 34 in
radius = 34/2 = 17 in
Height = 17in
[tex]\begin{gathered} V\text{ = }\frac{1}{3}\text{ x 3.14 x 17 x 17 x17} \\ V\text{ =5142.27 inches} \end{gathered}[/tex]