Answer:
2388.16 in³
Explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in
![\pi \: r {}^(2) h](https://img.qammunity.org/2021/formulas/mathematics/middle-school/k3mcoyjs8lhzl7fasm3bmd7rxzy8oqixc5.png)
![(3.14) * (4 {}^(2) ) * 9](https://img.qammunity.org/2021/formulas/mathematics/college/ffivzrwnoanhwmh6hfsljb9s1cpdsswmx6.png)
![3.14 * 16 * 9](https://img.qammunity.org/2021/formulas/mathematics/college/sh8skgxvz6pk8izngzv38b8pjgp45373ph.png)
![452.16 \: {in}^(3)](https://img.qammunity.org/2021/formulas/mathematics/college/38b5v9fknnq21mdzfotmdnics4bj7y8q3e.png)
2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in
![l \: * w \: * h](https://img.qammunity.org/2021/formulas/mathematics/college/d5a3kpyufj20o135d9ht4fb7oo8g3tugni.png)
![16 * 11 * 11](https://img.qammunity.org/2021/formulas/mathematics/college/tgathcqvug0gp5p8d92e9va549ta76gw1y.png)
![1936 \: in {}^(3)](https://img.qammunity.org/2021/formulas/mathematics/college/qjrl22m4sfi399rgea6yenyuqe11oialdv.png)
total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³