Question

A cylinder-shaped barrel has a diameter of 8 feet and a height of 7 feet. If the barrel is empty, which is closest to the minimum amount of water needed to completely fill the barrel?

Answer 1

Answer:
`351.9\ ft^3`

Explanation:

Given

The dimater of cylinder is
`d=8 \ft`

The height of the cylinder is
`h=7\ ft`

To fill the barrel, it must be filled with a volume equal to its volume i.e.

`\Rightarrow V=\pi r^2h\\\Rightarrow V=\pi \cdot 4^2* 7\\\Rightarrow V=112\pi\\\Rightarrow V=351.9\ ft^3`

Thus,
`351.9\ ft^3` of water is required to completely fill the barrel.