$397.90
First, we are going to find the volume of our drum of oil. Since a drum of oil is a cylinder, we are going to use the formula for the volume of a cylinder:
[tex]V=\pi r^2h[/tex]
where
[tex]V[/tex] is the volume of the cylinder
[tex]\pi =3.14[/tex]
[tex]r[/tex] is the radius of the cylinder
[tex]h[/tex] is the height of the cylinder
We know from our problem that the radius of the drum of oil is 1.2 ft and its height is 4 ft, so let's replace the values in our formula:
[tex]V=\pi r^2h[/tex]
[tex]V=3.14*(1.2ft)^2*4ft[/tex]
[tex]V=3.14*1.44ft^2*4ft[/tex]
[tex]V=18.0864ft^3[/tex]
Now, we just need to multiply the volume of the drum of oil by the oil cost per [tex]ft^3[/tex]:
Cost to fill the drum of oil = [tex]18.0864ft^3*\frac{22dollars}{1ft^3} =397.90dollars[/tex]
