Stage 1. Drag the LARGE POINTS to create a pair of SIMILAR CONES. Use the "check" slider to test the accuracy of your setup afterwards.
Mathematically show or explain how you know you created a pair of similar cones in the app above.
Find the volume of the smaller cone.
Find the volume of the larger cone.
By looking at the ratio between the volumes, what can you see?
Stage 2. Create another pair of SIMILAR CONES that have entirely different measurements than the ones you made above. Use the "check" slider to test the accuracy of your setup afterwards.
Mathematically show or explain how you know you created a pair of similar cones in the app above.
Find the volume of the smaller cone.
Find the volume of the larger cone.
By looking at the ratio between the volumes, what can you see? Is your observation same as the previous stage?
Build a pair of cones below that are NOT SIMILAR.
Mathematically show or explain how you know the cones you made above are NOT SIMILAR.