The volume will be given by:
The volume of the half cylinder on top, plus the volume of the rectangular prims, plus the volume of the half cylinder on the right:
so:
The volume of the half cylinder on top is:
[tex]\begin{gathered} V1=\frac{\pi r^2l}{2} \\ V1=\frac{\pi(1^2)5}{2}=\frac{5\pi}{2} \end{gathered}[/tex]
The volume of the half cylinder on the right is:
[tex]\begin{gathered} V2=\frac{\pi r^2l}{2} \\ V2=\frac{\pi(2^2)\cdot5}{2}=10\pi \end{gathered}[/tex]
The volume of the rectangular prism is:
[tex]\begin{gathered} V3=l\cdot w\cdot h \\ V3=4\cdot2\cdot5 \\ V3=40 \end{gathered}[/tex]
Therefore, the total volume is:
[tex]\begin{gathered} Vt=V1+V2+V3 \\ Vt=\frac{5}{2}\pi+10\pi+40=79.3mm^3 \end{gathered}[/tex]
