The region bounded by the curves y² = 8x and 2y = x³ is revolved about the line y-axis. Find the volume of the solid generated by revolving the region about the line y = - 1.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 25E
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The region bounded by the curves y² = 8x and 2y = x³ is
revolved about the line y - axis. Find the volume of the solid
generated by revolving the region about the line y = - 1.
Transcribed Image Text:The region bounded by the curves y² = 8x and 2y = x³ is revolved about the line y - axis. Find the volume of the solid generated by revolving the region about the line y = - 1.
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