The figure is composed of a rectangular prism and half of a cylinder. The height of the rectangular prism is 10 cm, its width is twice the radius of the cylinder, that is, 6 cm, and its length is 15 cm. The height of the cylinder is also 10 cm.
The volume of the rectangular prism is:
[tex]\begin{gathered} V=w\cdot h\cdot l \\ V=6\cdot10\cdot15 \\ V=900\operatorname{cm}^3 \end{gathered}[/tex]
The volume of half of a cylinder is:
[tex]\begin{gathered} V=\pi r^2\cdot h\cdot\frac{1}{2} \\ V=\pi\cdot3^2\cdot10\cdot\frac{1}{2} \\ V=141.4\operatorname{cm}^3 \end{gathered}[/tex]
Therefore, the volume of the composite figure is: 900 + 141.4 = 1041.4 cm³
