Question

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

Answer 1

Answer:

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.