Relationships between the volumes of a cone, cylinder, and sphere
This is a for discovering the relationships among volumes of cones, cylinders, and spheres.
Instructions:
Move point B up and down to change the heights of the cone and cylinder. The checkboxes allow you to look at a desired 3D shape. You can uncheck the checkbox to make the 3D shape disappear.
Prompts:
Move point B up and down. Observe how this affects the volumes of the cone, cylinder, and sphere.
Think about the formulas used for deriving the volume of a cone, cylinder, and sphere. How do they relate to one another?
Make a conjecture about the relationship between the volumes of the following: cone and cylinder, cone and sphere, and cylinder and sphere. Find evidence you conjecture by using the applet.