Respuesta :

gmany

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]