1. The problem asks about the solid formed when a parallelogram is revolved completely around a given straight line. 2. When a 2D shape is revolved around a line, the 3D solid formed depends on the shape and the axis of revolution. 3. A parallelogram is a four-sided figure with opposite sides parallel. When revolved around a line parallel to one of its sides, the shape formed is typically a cylinder. 4. However, if the axis of revolution passes through the parallelogram in such a way that parts of it sweep out cones (due to slant sides), the solid can be a combination of cylinders and cones. 5. The options describe combinations of cylinders and cones, some hollow inside. 6. The correct interpretation is that revolving a parallelogram around a line parallel to one side forms a cylinder with two hollow cones inside it, because the slant sides generate cones inside the cylinder. 7. Therefore, the answer is option B: A cylinder with two hollow cones inside it.