The volume of a cylinder is given by the product of the area of its base and its height. The base of a cylinder is a disk which means that its area is given by:
[tex]A=\pi r^2[/tex]
Where r is the radius of the base. Here we have the diameter of the base which is two times its radius. Then the radius of the base is:
[tex]r=\frac{6}{2}=3[/tex]
Then the area of the base is:
[tex]A=\pi\cdot3^2=9\pi\approx9\cdot3=27[/tex]
Now that we have the area of the base we just need to multiply it by the height:
[tex]V=27\cdot8=216[/tex]
Then the answer is 216 in³.
