Cavalieri’s principle A solid lies between planes
Chapter 6, Problem 14E(choose chapter or problem)
Cavalieri’s principle A solid lies between planes perpendicular to the x-axis at x=0 and x= 12. The cross-sections by planes perpendicular to the x-axis are circular disks whose diameters run from the line y=x/2 to the line y=x as shown in the accompanying figure. Explain why the solid has the same volume as a right circular cone with base radius 3 and height 12.
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