ANSWER
[tex]153in^3[/tex]EXPLANATION
The volume of the object is the sum of the volumes of the cone and the prism.
The diameter of the cone is given as 6 inches and its height is 8 inches. The radius of a cone is equal to half its diameter, hence, its radius is:
[tex]\begin{gathered} r=\frac{D}{2}=\frac{6}{2} \\ r=3in \end{gathered}[/tex]Therefore, the volume of the cone is:
[tex]\begin{gathered} V=\frac{\pi r^2h}{3} \\ \Rightarrow V=\frac{3\cdot3^2\cdot8}{3} \\ V=72in^3 \end{gathered}[/tex]The volume of the rectangular prism is:
[tex]\begin{gathered} V=l\cdot w\cdot h \\ \Rightarrow V=9\cdot1\cdot9 \\ V=81in^3 \end{gathered}[/tex]Hence, the volume of the object is:
[tex]\begin{gathered} V=72+81 \\ V=153in^3 \end{gathered}[/tex]