Using Shell Method for x axis : Rotate the area bounded by y=10-5x, y=0, x = 0 about the x=-1 axis. Luckily, Calculus Made Easy for the Tinspire CX CAS solved this problem instantly, watch below:
Select option R in the menu:
Enter the function, interval and axis of rotation as shown below, the box below shows the setup and solution.
After integrating , the final answer appears: