The base of a solid is the region enclosed by the ellipse 2x^2+y^2=8. Find the volume of the solid if cross-sections perpendicular to the x-axis are isosceles triangles whose height and base length are equal.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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The base of a solid is the region enclosed by the ellipse 2x^2+y^2=8. Find the volume of the solid if cross-sections perpendicular to the x-axis are isosceles triangles whose height and base length are equal. 

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