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A solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross-sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle y = -√36-x² to the semicircle y = √36-x². Find the volume of the solid. The volume of the solid is cubic units. (Simplify your answer.)

A solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross-sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle y = -√36-x² to the semicircle y = √36-x². Find the volume of the solid. The volume of the solid is cubic units. (Simplify your answer.)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross-sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle y = -√√36-x to the semicircle y = √36-x. Find the volume of the solid. The volume of the solid is cubic units. (Simplify your answer.)
Transcribed Image Text:A solid lies between planes perpendicular to the x-axis at x = -6 and x = 6. The cross-sections perpendicular to the x-axis between these planes are squares whose bases run from the semicircle y = -√√36-x to the semicircle y = √36-x. Find the volume of the solid. The volume of the solid is cubic units. (Simplify your answer.)
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