G-GMD: Geometry: Geometric Measurement and Dimension (G-GMD)

Geometry: Geometric Measurement and Dimension (G-GMD)

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G-GMD.1Give 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.G-GMD.2Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.G-GMD.3Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.G-GMD.4Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
Example Problems
The radius of a circle is .
What is the
diameter of the circle?
A hexagonal pyramid has a volume of and a height of .
What is the area of the base of the pyramid?
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