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Discovering the Formula for the Volume of a Sphere

Deduce the formula for the volume of a sphere by observing this simulation of a sphere being immersed in a cylinder filled with liquid.

Aufgabe 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Aufgabe 2

How does the volume of a sphere relate to the volume of a cylinder?

Aufgabe 3

How are the two calculations to find the volume of a sphere related?