CCSS G-GMD Geometric Measurement and Dimension

Terry Lee Lindenmuth, 21/6/2016

CCSS Geometric Measurement and Dimension G-GMD Explain volume formulas and use them to solve problems 1. 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. 2. (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures. 3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★ Visualize relationships between two-dimensional and three- dimensional objects 4. Identify the shapes of two-dimensional cross-sections of three- dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.


  • 1. Rotation of a Function 360º Around x-axis
  • 2. 2sin(x) Rotated Around x-axis
  • 3. Volume of Cylinder & Cone
  • 4. Volume of Triangular Prism Practice
  • 5. Volume of Prisms with Set Area of Base
  • 6. Volume of a Hexagonal Prism
  • 7. Volume of Prism & Pyramid wt same base & height
  • 8. Circumference of a Circle
  • 9. Area of a circle
  • 10. Weight of a Water Filled Soccer Ball
  • 11. Volume of Cylinders
  • 12. Cavalieri’s Principle & Volume of a Sphere v2
  • 13. C0702Vol_DiskMethodVisual
  • 14. C0702 Volume Disk Method 3D Visual
  • 15. C0702X14aV2
  • 16. C0702X14b
  • 17. C0702X18
  • 18. C0702X28 Volume by Disk Method
  • 19. C0702VolCirBaseXSecEqLatTri1
  • 20. C0702VolCirBaseXSecIsosRtTri1
  • 21. C0702VolCirBaseXSecSemiCir1
  • 22. C0702VolCirBaseXSecSq2
  • 23. Free Hand 2D Rotated About x-Axis CCSS G-GMD 4
  • 24. Cylinder Volume & Total Surface Area Practice
  • 25. Cone Volume & Total Surface Area Practice
  • 26. Sphere Volume & Total Surface Area Practice
  • 27. Cone Volume & Surface Area Scored Practice
  • 28. Cylinder Volume & Surface Area Scored Practice
  • 29. Pyramid Volume Scored Practice
  • 30. Sphere Inside a Rectangular Prism

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Rotation of a Function 360º Around x-axis

– Terry Lee Lindenmuth

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