Answer:
Cylinder: [tex]V_c = 80 \pi \approx 251.33[/tex]
Rectangular prism: [tex]V_r = 384[/tex]
Total: [tex]V = 80\pi + 384 \approx 635.33[/tex]
Step-by-step explanation:
The volume of the cylinder:
[tex]V_c = \pi r^2 h\\V_c =\pi4^2 \times 5\\V_c = 80\pi\\V_c \approx 251.33[/tex]
The volume of the rectangular prism:
[tex]V_r = lwh\\V_r = 12 \times 8 \times 4\\V_r = 384[/tex]
The total volume:
[tex]V = V_c + V_r\\V = 80\pi + 384\\V \approx 635.33[/tex]
