Respuesta :

The volume of the rectangular prism is:

[tex]\begin{gathered} V_{prism}=l\times w\times h \\ V_{prism}=8\times8\times1 \\ V_{prism}=64in^3 \end{gathered}[/tex]

And the volume of the cone is:

[tex]\begin{gathered} V_{cone}=\frac{\pi\times r^2\times h}{3} \\ V_{cone}\frac{3\times3^2\times10}{3} \\ V_{cone}=3^2\times10 \\ V_{cone}=90in^3 \end{gathered}[/tex]

So the total volume is:

[tex]\begin{gathered} V=V_{cone}+V_{\text{prism}} \\ V=90+64 \\ V=154in^3 \end{gathered}[/tex]