Answer:
129.996 cubic feet
Explanation:
Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:
![\pi(r)^2(h)](https://img.qammunity.org/2022/formulas/mathematics/high-school/v34grrynyl13wlnsya8sgfymrahwpvn7x7.png)
First, we have to find the radius, which is:
D = 2r
So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.
![3.14(3)^2(4.6)](https://img.qammunity.org/2022/formulas/mathematics/high-school/hheodex1fg8r8m9gxar1ky5604td8sd11g.png)
Now, we solve. Exponents are first...
3.14(9)(4.6)
Now multiply left to right.
28.26(4.6)
129.996 cubic feet
Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!