A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √6y². Find the volume of the solid.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 29A
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A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections perpendicular to the y-axis are circular disks with diameters
running from the y-axis to the parabola x =
√6y². Find the volume of the solid.
√
The volume of the solid is cubic units.
(Type an exact answer, using as needed.)
DB
2
$
38
3
%
5
6
&
7
*
CO
delete
Transcribed Image Text:A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections perpendicular to the y-axis are circular disks with diameters running from the y-axis to the parabola x = √6y². Find the volume of the solid. √ The volume of the solid is cubic units. (Type an exact answer, using as needed.) DB 2 $ 38 3 % 5 6 & 7 * CO delete
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