Answer:
2388.16 in³
Step-by-step explanation:
1) find volume of cylinder
formula: πr²h
given:
π = 3.14
r = 8/2 = 4 in
h = 9 in
[tex]\pi \: r {}^{2} h[/tex]
[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]
[tex]3.14 \times 16 \times 9[/tex]
[tex]452.16 \: {in}^{3} [/tex]
2) find volume of cuboid
formula: length × width × height
given:
length = 16 in
width = 11 in
height = 11 in
[tex]l \: \times w \: \times h[/tex]
[tex]16 \times 11 \times 11[/tex]
[tex]1936 \: in {}^{3} [/tex]
total volume of figure
= volume of cylinder + volume of cuboid
= 452.16 in³ + 1936 in³
= 2388.16 in³
