Comparing the Volumes of 3D Shapes
Questions:
1. What do you notice about the relationship between the volume of the cone and the volume of the cylinder? (Hint: let r=1 and h=3)
2. Set the height so that it is exactly two times the radius. What do you notice about the relationship between the volume of the cylinder and the volume of the sphere? (Hint: it involves a ratio of 2/3)
3. Combining what you learned in questions 1 and 2, how would you summarize the relationship between the three objects? (Hint: again allow h=2r)