5. Can a solid of rotation about the x-axis generate the three-dimensiona figure as shown? Explain.

Answer:
Yes, a solid of rotation about the x-axis can generate the three-dimensional figure shown. This is because a solid of rotation is formed when an object revolves around an axis, resulting in a shape with symmetry along that axis. The x-axis is one of the three coordinate axes (x, y, and z) used in Cartesian coordinate systems to uniquely identify a point in three-dimensional space. By rotating an object about the x-axis, it is possible to create various shapes and figures with different degrees of complexity, depending on the initial shape and the angle of rotation.