(a) Cavalieris Principle states that if a family of parallel planes gives equal cross-sectional areas for two...

Question:

(a) Cavalieri€™s Principle states that if a family of parallel planes gives equal cross-sectional areas for two solids S1 and S2, then the volumes of S1 and S2 are equal. Prove this principle.
(b) Use Cavalieri€™s Principle to find the volume of the oblique cylinder shown in the figure.

(a) Cavalieri’s Principle states that if a family of parallel