17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse and the x-axis, and thus find the volume of a prolate spheroid. Here a and b are positive constants, with a > b.

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 19E
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Calculate with disk method

17. Find the volume of the solid generated by revolving about
the x-axis the region bounded by the upper half of the ellipse
and the r-axis, and thus find the volume of a prolate spheroid.
Here a and b are positive constants, with a> b.
Transcribed Image Text:17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse and the r-axis, and thus find the volume of a prolate spheroid. Here a and b are positive constants, with a> b.
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