The volume of the hemisphere is 56.25 in³, the volume of the cylinder is 339.12 in³, the total volume is 395.74 in³.
How to find the volumes?
We know that for a hemisphere of radius R, the volume is:
[tex]V = (2/3)*pi*R^3[/tex]
In this case, the radius of the hemisphere is 3 inches (half of the diameter) then we have:
[tex]V = (2/3)*3.14*(3in)^3 = 56.52 in^3[/tex]
For a cylinder of radius R and height H the volume is:
[tex]V = pi*R^2*H[/tex]
Here we have:
R = 3in
H = 12in
So the volume is:
[tex]V = 3.14*(3in)^2*12in = 339.12 in^3[/tex]
the sum of the volumes is:
[tex]T_v = 56.62in^3 + 339.12in^3 = 395.74 in^3[/tex]
If you want to learn more about volumes:
https://brainly.com/question/1972490
#SPJ1