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Common Core Math

High School: Geometry: Geometric Measurement and Dimension

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.
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Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
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