Activity C. Create a Torus - Model of a Pink Inner Tube

Extension - Examine the cross sections of the torus to determine symmetry
If we section the tube from the top, we see concentric circles that would not change if the solid was rotated about the blue axis (at any given degree measure). I painted the inside of the torus sky blue.

If we section the torus perpendicular to green-red plane, we see that the shape will change as you move horizontally across the solid. If we section the plane vertically through the blue axis, we see that the solid has an infinite number of reflection symmetries.

Homework
Create the model of an inner tube that has a diameter of 50 inches. Let the diameter of the cross section be 10 inches.

Challenge
Put Susan in an inner tube in the water.

## Sphere and Torus

## Activity A. Create a Sphere

## Activity B. Create a Hemisphere

## Activity C. Create a Torus - Model of a Pink Inner Tube

Extension-Examine the cross sections of the torus to determine symmetryIf we section the tube from the top, we see concentric circles that would not change if the solid was rotated about the blue axis (at any given degree measure). I painted the inside of the torus sky blue.

If we section the torus perpendicular to green-red plane, we see that the shape will change as you move horizontally across the solid. If we section the plane vertically

through the blue axis, we see that the solid has an infinite number of reflection symmetries.HomeworkCreate the model of an inner tube that has a diameter of 50 inches. Let the diameter of the cross section be 10 inches.

ChallengePut Susan in an inner tube in the water.