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Explain how Cavalieri’s principle can be used to find the volume of any solid.

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Answer:

Cavalier's principle can be used to find the volume of any solid.

Explanation:

Cavalier's Principle:

  • Cavalier introduced parallel planes and area to describe the relationship between solids.
  • Cavalier stated if two solids have the same height and equal areas of the base everywhere along the height then the solids have the same volume.
  • Suppose two regions are included between two parallel planes.
  • If every plane parallel to these two planes intersects both regions in cross-sections of equal area, then the two regions have equal volumes.
  • The formula for the volume of a prism is the area of the base times the height.
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