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

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Mathematics

Arely Pineda

30 November, 15:32

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

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Quincy Reynolds · Answer 1

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

Step-by-step 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.