Question

I have no idea what to do

Answer 1

D)
`8\pi`, or approximately 25.133 units squared.

Explanation:

The volume of a cylinder is
`\pi*r^2*h`, where
`r` represents the radius, and
`h` represents the height.

First, we can determine the volume (
`V`) of the entire jar. We can do this by simply plugging in 2 for our
`r` and 8 for our
`h`.

`V=\pi *r^2*8`

`V=\pi *2^2*8`

`V=32\pi`

Since we know that the jar is is only filled
`(1)/(4)`th of the way, we know that the area the preserves are taking up is
`(1)/(4)`th of the total volume,
`V`. We'll represent this as
`V'`.

`V' = (1)/(4) V` (we know the preservatives (
`V'`) only take up
`(1)/(4)`th of the jar)

`V'=(1)/(4) *32\pi` (since we know the volume of the jar (
`V`) is
`32\pi`)

`V'=8\pi` (simplify)

Therefore, we have determined that the preservatives take up
`8\pi` units squared, which is approximately 25.133 units squared, or D.

Answer 2

25.12

Explanation:

V=πr2h. r=2 and h=8. Do the calculations, get 100.48, divide by 4. 25.12