Answer:
[tex]\boxed{V=121\pi\ in^3\approx379.94\ 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 = 11 in → r = (11 : 2) in = 5.5 in
and the height H = 4 in. Substitute:
[tex]V=\pi(5.5)^2(4)=121\pi\ in^3[/tex]
[tex]\pi\approx3.14[/tex]
[tex]V\approx121\cdot3.14=379.94\ in^3[/tex]
