Rotations of 2D Shapes

Learning Intentions and Success Criteria

[color=#ff0000]We are learning to:[/color][br][list][*]Determine the two-dimensional shape that when rotated using a given axis generates a particular three-dimensional solid[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]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[/*][/list]

What 3D shape is it?

Describe the solid that is formed by rotating each of these figures about line m and sketch it.[br]a.

b.

c.

d.

[size=150][size=200]For each applet, sketch the 3D solid generated by rotating the 2D shape about the given axis. Find the volume of the 3D solid.[/size][/size]

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.