Answer:
![V= 4\pi (9h^2 -12h + 4)](https://tex.z-dn.net/?f=V%3D%204%5Cpi%20%289h%5E2%20-12h%20%2B%204%29)
Step-by-step explanation:
Given
Shape: Cylinder
![Radius = 3h - 2](https://tex.z-dn.net/?f=Radius%20%3D%203h%20-%202)
![Height = h](https://tex.z-dn.net/?f=Height%20%3D%20h)
![Base\ Area = \pi (3h - 2)^2](https://tex.z-dn.net/?f=Base%5C%20Area%20%3D%20%5Cpi%20%283h%20-%202%29%5E2)
Required
Simplify the volume
The volume is calculated as:
![Volume = Base\ Area * Height](https://tex.z-dn.net/?f=Volume%20%3D%20Base%5C%20Area%20%2A%20Height)
Substitute values for Base Area and Height
![V= \pi(3h-2)^2*h](https://tex.z-dn.net/?f=V%3D%20%5Cpi%283h-2%29%5E2%2Ah)
Expand the bracket
![V= \pi(3h-2)(3h-2)*h](https://tex.z-dn.net/?f=V%3D%20%5Cpi%283h-2%29%283h-2%29%2Ah)
Open brackets
![V= \pi (9h^2 -6h - 6h + 4) *h](https://tex.z-dn.net/?f=V%3D%20%5Cpi%20%289h%5E2%20-6h%20-%206h%20%2B%204%29%20%2Ah)
![V= \pi (9h^2 -12h + 4) *h](https://tex.z-dn.net/?f=V%3D%20%5Cpi%20%289h%5E2%20-12h%20%2B%204%29%20%2Ah)
![V= 4\pi (9h^2 -12h + 4)](https://tex.z-dn.net/?f=V%3D%204%5Cpi%20%289h%5E2%20-12h%20%2B%204%29)
To get the earning for the week you have to do this:
0.175 * the total sales
The total sales are: $2,507.47
So no multiply:
0.175 * 2,507.47 = 438.80725
Now, round it to the nearest hundredth to get your answer:
$438.81 ( A )
5 is in the tens place, 4 is in the ones place, the other 4 is in the tenths, and 5 is in the hundreths.
I think it’s 200 cubit feet