Answer: [tex]351.9\ ft^3[/tex]
Step-by-step explanation:
Given
The dimater of cylinder is [tex]d=8 \ft[/tex]
The height of the cylinder is [tex]h=7\ ft[/tex]
To fill the barrel, it must be filled with a volume equal to its volume i.e.
[tex]\Rightarrow V=\pi r^2h\\\Rightarrow V=\pi \cdot 4^2\times 7\\\Rightarrow V=112\pi\\\Rightarrow V=351.9\ ft^3[/tex]
Thus, [tex]351.9\ ft^3[/tex] of water is required to completely fill the barrel.
