The volume of a cylinder is equal to the area of its base times its height.
Since the base is a circle with diameter 4 feet, then its radius is 2 feet (since the diameter is twice the radius).
The area of a circle with radius r is:
[tex]\pi\times r^2[/tex]Then, the area of the base of the cylinder is:
[tex]\pi\times(2feet)^2=4\pi feet^2[/tex]Since the height of the container is 22 feet, then its volume is equal to:
[tex]\begin{gathered} V=A\times h \\ =4\pi feet^2\times22feet^2 \\ =88\pi feet^3 \end{gathered}[/tex]The number 88 times pi is approximately:
[tex]88\pi=276.4601535\ldots\approx276.46[/tex]From the options 153.5, 12.22, 10.49 and 38.37, the closest measurement to 276 is 153.5.
