Answer:
[tex]\boxed{V=99\pi\ in^3\approx310.87\ in^3}[/tex]
Step-by-step explanation:
The formula of a volume of a cylinder:
[tex]V=\pi r^2H[/tex]
r - radius
H - height
We have the diameter 2r = 6 in → r = (6 : 2) in = 3 in
and the height H = 11 in. Substitute:
[tex]V=\pi(3)^2(11)=99\pi\ in^3[/tex]
[tex]\pi\approx3.14[/tex]
[tex]V\approx99\cdot3.14=310.87\ in^3[/tex]