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
- 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
What 3D shape is it?
Describe the solid that is formed by rotating each of these figures about line m and sketch it.
a.
b.
c.
d.
For each applet, sketch the 3D solid generated by rotating the 2D shape about the given axis. Find the volume of the 3D solid.
1. Rotate triangle ABC about x-axis.
1. Find the volume of the 3D solid.
2. Rotate triangle ABC about y-axis.
2. Find the volume of the 3D solid.
3. Rotate rectangle ABCD about y-axis.
3. Find the volume of the 3D solid.
4. Rotate rectangle ABCD about x-axis.
4. Find the volume of the 3D solid.
5. Rotate semicircle ABC about x-axis.
5. Find the volume of the 3D solid.
6. Rotate triangle ABC about y-axis.
6. Find the volume of the 3D solid.