Use a double integral in polar coordinates to find a such that the volume inside the hemisphere 2= √64x². 1-x² - y² and outside the cylinder is one-half the volume of the hemisphere. (Round your answer to four decimal places.) a = Need Help? Read It Watch It

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
Section9.3: Cylinders And Cones
Problem 26E
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Use a double integral in polar coordinates to find a such that the volume inside the hemisphere
2= √64x².
1-x² - y²
and outside the cylinder
is one-half the volume of the hemisphere. (Round your answer to four decimal places.)
am
Need Help? Read It
Watch It
Transcribed Image Text:Use a double integral in polar coordinates to find a such that the volume inside the hemisphere 2= √64x². 1-x² - y² and outside the cylinder is one-half the volume of the hemisphere. (Round your answer to four decimal places.) am Need Help? Read It Watch It
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