# Doubled Spheres

- Author:
- williamsmath.piner

- Topic:
- Sphere

Using the arrow tool, move the slider for a to manipulate this applet. The following are all based on the variable a:
-The radius of the small sphere is a
-The radius of the large sphere is 2a
-The volumes of the spheres are displayed dynamically on the left
-Point D is a point (x,y) of (radius, volume) for the small sphere
-Point E is a point (x,y) of (radius, volume) for the large sphere

1) What is the ratio of the volume of the large sphere to the volume of the small sphere when a=1?
2) Does that ratio change when you change a?
3) Compare the traced graphs of Points D and E. What are similarities? Differences?