The three views of a certain solid are shown in the figure. The volume of this solid is
(A) $\frac { 1 } { 3 } + 2 \pi$
(B) $\frac { 13 \pi } { 6 }$
(C) $\frac { 7 \pi } { 3 }$
(D) $\frac { 5 \pi } { 2 }$

5. The three-view drawing of a certain solid is shown in the figure. The volume of this solid is
[Figure]
Front view
[Figure]
Left view
[Figure]
Top view
A. $\frac { 1 } { 3 } + \pi$
B. $\frac { 2 } { 3 } + \pi$
C. $\frac { 1 } { 3 } + 2 \pi$
D. $\frac { 2 } { 3 } + 2 \pi$

10. The three-view drawing of a workpiece is shown in Figure 3. The workpiece is to be machined by cutting into a rectangular parallelepiped with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. Then the material utilization rate of the original workpiece is (material utilization rate = volume of new workpiece / volume of original workpiece) [Figure]
A. $\frac { 8 } { 9 \pi }$
B. $\frac { 8 } { 27 \pi }$
C. $\frac { 24 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$
D. $\frac { 8 ( \sqrt { 2 } - 1 ) ^ { 3 } } { \pi }$
II. Fill-in-the-Blank Questions: This section has 5 questions, each worth 5 points, for a total of 25 points

10. The three-view drawing of a workpiece is shown in Figure 3. The workpiece is to be machined by cutting into a rectangular solid with the largest possible volume, with one face of the new workpiece lying on a face of the original workpiece. The material utilization rate of the original workpiece is (Material utilization rate = Volume of new workpiece / Volume of original workpiece.) [Figure]
A. $\frac { 8 } { 9 }$
B. $\frac { 16 } { 9 }$
C. $\frac { 4 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$
D. $\frac { 12 ( \sqrt { 2 } - 1 ) ^ { 2 } } { 9 }$
II. Fill-in-the-Blank Questions: This section has 5 questions, each worth 5 points, for a total of 25 points

4. As shown in the figure, on grid paper with unit squares, the three-view of a geometric solid obtained by cutting off part of a cylinder with a plane is shown. The volume of this geometric solid is
A. $90 \pi$
B. $63 \pi$
C. $42 \pi$
D. $36 \pi$ [Figure] [Figure]
5. Let $x , y$ satisfy the constraints $\left\{ \begin{array} { l } 2 x + 3 y - 3 \leqslant 0 , \\ 2 x - 3 y + 3 \geqslant 0 , \\ y + 3 \geqslant 0 , \end{array} \right.$ then the minimum value of $z = 2 x + y$ is
A. $-3$
B. $- 9$
C. $1$
D. $9$

A certain geometric solid is obtained by removing a quadrangular prism from a cube. Its three-view drawing is shown in the figure. If the side length of each small square on the grid paper is 1, then the volume of this geometric solid is $\_\_\_\_$.