Cross-Sections of Cylinders and Cones Exercise

Cross-Sections of Cylinders and Cones

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Cross-Sections of Cylinders and Cones

Identify and analyze the different two-dimensional shapes created by slicing cylinders and cones.

Questions

  1. MultiChoice

    What 2D shape is formed by a horizontal cross-section parallel to the base of a right circular cylinder?

  2. MultiChoice

    What 2D shape is formed by a vertical cross-section passing through the center of both bases of a cylinder?

  3. MultiChoice

    What 2D shape is created by a horizontal slice parallel to the base of a cone?

  4. MultiChoice

    What 2D shape is formed by a vertical cross-section passing directly through the apex of a cone?

  5. MultiChoice

    How does the circular cross-section of a cylinder compare at different heights?

  6. MultiChoice

    How does the circular cross-section of a cone change as the slice moves from the base toward the apex?

  7. MultiChoice

    A cylinder with radius 5 cm is cut parallel to its base. What is the radius of the resulting circular cross-section?

  8. MultiChoice

    A cylinder with height 10 cm and diameter 6 cm is cut vertically through its axis. What are the dimensions of the rectangular cross-section?

  9. MultiChoice

    A cone with base radius 8 cm is sliced parallel to the base halfway up its height. What is the radius of the circular cross-section?

  10. MultiChoice

    Which cut on a right cylinder produces a rectangular cross-section?

  11. MultiChoice

    Slicing a cone horizontally closer to the apex results in a circle with:

  12. MultiChoice

    If you slice a cylinder vertically, but off-center (not through the central axis), what shape is the cross-section?