Answer:
The solution in the attached figure
Explanation:
we know that
The volume of a cylinder is equal to
![V=\pi r^(2)h](https://img.qammunity.org/2020/formulas/mathematics/middle-school/titmu4ltmv02ffi5m2twbvsriijaisu55u.png)
Calculate the volume of each image
Image N 1
we have
![r=3\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/atdoliez300x87s7glc2c13rprnmkauny6.png)
![h=8\ in](https://img.qammunity.org/2020/formulas/mathematics/high-school/w6ugofm4bjc79ov8xzu86wbfz2r7hj5zrp.png)
![\pi=3.14159](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aizi90bycustyb2urulfs21xyozlg946qz.png)
substitute the values in the formula
Image N 2
we have
![r=4\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zjjti6q5yx7vws5yxdf8tacbhtaajyd0y7.png)
![h=5\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xhy88uem0840wbzvnu9k1ne7r2j907rbnb.png)
![\pi=3.14159](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aizi90bycustyb2urulfs21xyozlg946qz.png)
substitute the values in the formula
Image N 3
we have
![r=2\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/erpdpid5z28gomdkkonsx9244wmr29ucxp.png)
![h=10\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mfgklhrv3c91e7fnkdreut4eypvkljv9os.png)
![\pi=3.14159](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aizi90bycustyb2urulfs21xyozlg946qz.png)
substitute the values in the formula
![V=(3.14159)(2)^(2)(10)=125.66\ in^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/simscycdty69ljzfz6zv0manqif2tq5d0w.png)
Image N 4
we have
![r=5\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/amgsf7l82q5fvnwe8wgyeiz4eoja6o1amk.png)
![h=5\ in](https://img.qammunity.org/2020/formulas/mathematics/middle-school/xhy88uem0840wbzvnu9k1ne7r2j907rbnb.png)
![\pi=3.14159](https://img.qammunity.org/2020/formulas/mathematics/middle-school/aizi90bycustyb2urulfs21xyozlg946qz.png)
substitute the values in the formula
![V=(3.14159)(5)^(2)(5)=392.70\ in^(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/awkzfi2629pcezwhd3gsn8ptyq66nfaktw.png)