Interactive applet
Volume: Cylinder, Cone, Sphere
Adjust radius and height. Compare a cone to a cylinder with the same base and height.
Hands-on lab
Resize the solids
Cylinder πr²h
226.2
Cone (1/3)πr²h
75.4
Sphere (4/3)πr³
113.1
Compare
Three cones fill one cylinder with the same base and height. Doubling r multiplies sphere volume by 8.
Missions
- Check cone is 1/3 of the cylinder
- Double the radius from 3 to 6
1/2 complete
Guided questions
Keep r and h the same. What is the ratio of cone volume to cylinder volume?
Reflection
Why does doubling the radius of a sphere multiply volume by 8, not 2?
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