Volume of Geometric Solids

What is the relationship for the volume of any two shapes below?

 

Instructions

  1. Click and drag a shape such as the sphere to the faucet to fill the it with water.

  2.  
  3. Click and drag on the same shape and drag it to another shape. Release and the water will be poured into the second shape.
     
  4. What volume relationship can you estabish such as Volume of Sphere = • Volume of Cylinder ?
     
  5. Then try other shapes. For which pairs of shapes can you determine the relationship between their volumes?
     
  6. For which shapes do you know how to compute the volume? Use this information with your findings to create formulas for other shapes?
     
2006 Connected Mathematics Project, Michigan State University

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