Answer
$397.90
Explanation
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:
\(V=\pi r^2h\)
where
\(V\) is the volume of the cylinder
\(\pi =3.14\)
\(r\) is the radius of the cylinder
\(h\) 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:
\(V=\pi r^2h\)
\(V=3.14*(1.2ft)^2*4ft\)
\(V=3.14*1.44ft^2*4ft\)
\(V=18.0864ft^3\)
Now, we just need to multiply the volume of the drum of oil by the oil cost per \(ft^3\):
Cost to fill the drum of oil = \(18.0864ft^3*\frac{22dollars}{1ft^3} =397.90dollars\)
