The combined volume is:
[tex]V=V_{rp}+V_c[/tex]
The volume of the rectangular prism is:
[tex]V_{rp}=l\cdot w\cdot h[/tex]
The volume of a cylinder is:
[tex]V_c=\pi\cdot r^2\cdot h[/tex]
Then, the combined volume is:
[tex]\begin{gathered} V=l_{rp}\cdot w_{rp}\cdot h_{rp}+\pi\cdot r^2\cdot h_c \\ \\ V=10m\cdot5m\cdot3m+\pi\cdot(2m)^2\cdot4m \\ V=150m^3+16\pi m^3 \\ V=(150+16\pi)m^3 \\ \\ V\approx200.3\text{ }m^3 \end{gathered}[/tex]
Turn into inches:
[tex]200.3m^3\cdot\frac{61023.7in^3}{1m^3}=12223047in^3[/tex]
Then, the volume in inches is 12,223,047 cubic inches (200.3 cubic meters)
