A dotted line is not included in the solution so there is no equal sign.
The blue area is to the right of the dotted line so the solution is >
The line crosses the x axis at -2
The answer is : x-y > -2
The volume of the shape
We have a cylinder that is cut into two. Its external radius is 5ft, while its internal radius is 4ft.
External radius = internal radius + thickness
![\begin{gathered} \text{External radius = 4ft + 1ft } \\ =\text{ 5ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BExternal%20radius%20%3D%204ft%20%2B%201ft%20%7D%20%5C%5C%20%3D%5Ctext%7B%20%205ft%7D%20%5Cend%7Bgathered%7D)
Internal radius = 4ft (given)
Recall that the volume(V) of a full cylinder is:
![V\text{ = }\pi r^2h](https://tex.z-dn.net/?f=V%5Ctext%7B%20%3D%20%7D%5Cpi%20r%5E2h)
Since the cylinder is cut into two, the volume(V) is:
![V\text{ = }\frac{\pi r^2h}{2}](https://tex.z-dn.net/?f=V%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Cpi%20r%5E2h%7D%7B2%7D)
height (h) = 12ft (given)
The volume of the shape:
The answer is C i took the test a couple days ago