Present a casual explanation for the formulas determining the circumference and area of a circle, as well as the volume of a cylinder, pyramid, and cone. Utilize dissection arguments, Cavalieri's principle, and basic limit arguments in your explanations.

Similarly, explain the formulas for the volume of a sphere and other solid figures using Cavalieri’s principle. Solve issues using these volume formulas for cylinders, pyramids, cones, and spheres.

Recognize the forms of two-dimensional sections of three-dimensional objects. Also, determine the three-dimensional objects created by rotating two-dimensional objects.