Cavalieri's Principle Worksheet
Explore Cavalieri's Principle with this worksheet, covering its application to calculating volumes of various solids.
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Cavalieri's Principle Worksheet
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Read each question carefully and provide your answers in the spaces provided.
1. Cavalieri's Principle states that if two solids have the same height and the same at every level, then they have the same volume.
surface area
cross-sectional area
perimeter
base area
1. Cavalieri's Principle can only be applied to solids with circular bases.
True
False
1. If a stack of coins is pushed so that it leans, its volume .
2. Cavalieri's Principle is often used to derive the formulas for the volumes of and .
1. Describe in your own words what Cavalieri's Principle means.
2. Consider a right circular cylinder and an oblique circular cylinder with the same height and the same radius. Explain how Cavalieri's Principle can be used to prove that their volumes are equal.