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Problem 49 Easy Difficulty

(a) Cavalieri's Principle states that if a family of parallel
planes gives equal cross-sectional areas for two solids
$S_{1}$ and $S_{2},$ then the volumes of $S_{1}$ and $S_{2}$ are equal.
Prove this principle.
(b) Use Cavalieri's Principle to find the volume of the
oblique cylinder shown in the figure.

Answer

$$
V=\pi r^{2} h
$$

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Video Transcript

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