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GeoGebraGeoGebra Classroom

More Rotations of 2D Shapes

Learning Intentions and Success Criteria

We are learning to:
  • Determine the two-dimensional shape that when rotated using a given axis generates a particular three-dimensional solid
We are successful when we can:
  • Draw the two-dimensional shape that creates a particular three-dimensional solid when rotated using a given axis
  • Identify the three-dimensional solid created by rotating a two-dimensional figure using a linear axis

7. Rotate rectangle ABCD about x-axis.

7. Find the volume of the 3D solid.

8. Rotate rectangle ABCD about y-axis.

8. Find the volume of the 3D solid.

9. Rotate semicircle ABC and semicircle DEF about x-axis.

9. Find the volume between the two spheres.

10. Rotate 2D shape ABCD about y-axis.

10. Find the volume of the 3D solid.

11. Rotate 2D shape ABC about y-axis.

11. Find the volume of the 3D solid.

12. Rotate trapezoid ABCD about y-axis.

12. Find the volume of the 3D solid.