Ok, I'm having a hard time understand this problem or what to do even.
Two cones of height 2 and base circle of radius 4 are stuck together at their bases, and a cylindrical section of radius 2 is cut along the axis of the resulting object. Evaluate an integral to find the volume as a solid of revolution.
Help on this would be much appreciated!
you could allow the y-axis to be the line passing through the vertices of both cones.
One cone is above the x-axis, resting on it, and the other is below the x-axis,
attached to the top cone (they are joined together).
You can set up the situation using the following sketch