Question: 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

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. y = x 12 X

y = x 12 X

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ANSWER Lets call the solid we are interested in S To show that S has the same volume as a right circ... View full answer

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