Cavalieri’s Principle & Dissection Arguments
Applying Cavalieri’s principle and dissection arguments for the formulas for the volume of three-dimensional objects.
Mapped to CCSS Section# HSG.GMD.A.1, HSG.GMD.A.2
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments. Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.