Volumes of Solids
This applet will help you discover relationships between the volumes of cones, cylinders, and spheres. To use the applet, you can use the slider (n) to change the radius and height of each polyhedron. Also, use the checkboxes to view the polyhedrons either one at a time, or all at once. Consider the following prompts as you explore:
1. Is there any relationship between the volume of the cylinder (a) and the volume of the cone (b) with the same radius?
2. Is there any relationship between the volume of the cylinder (a) and the volume of the sphere (c) with the same radius?
3. Is there any relationship between the volume of the cone (b) and the volume of the sphere (c) with the same radius?
4. Is there any relationship between the volume of all three shapes?