Cross-Sections of Spheres and Hemispheres

Questions

1. MultiChoice

   Any flat 2D slice through a sphere produces what shape?

2. MultiChoice

   What is the special name for a cross-section of a sphere that passes directly through its center?

3. MultiChoice

   How does the size of a cross-section of a sphere change as the cut gets closer to the center of the sphere?

4. MultiChoice

   What cross-section is obtained when a sphere with radius 10 cm is sliced right through its center?

5. MultiChoice

   What 2D shape is formed by a horizontal slice parallel to the flat base of a hemisphere?

6. MultiChoice

   What 2D shape is formed by a vertical slice passing through the top peak and center of the flat base of a hemisphere?

7. MultiChoice

   Where on a sphere is the largest possible circular cross-section formed?

8. MultiChoice

   Slicing a hemisphere parallel to its flat circular base produces:

9. MultiChoice

   If a sphere is cut by a plane that does not pass through the center, the cross-section is a circle with radius:

10. MultiChoice

    Can a flat slice of a sphere ever produce a polygon like a square or triangle?

11. MultiChoice

    Comparing two parallel cross-sections of a sphere, one 2 cm from the center and one 5 cm from the center:

12. MultiChoice

    What 2D shape is the flat surface of a hemisphere itself?