Find the volume V of the solid below the paraboloid z=8-x²-y² and above the following region. R={(r,0): 1sr≤2,0 ≤0 ≤ 2} |z=8-x²-y²
Find the volume V of the solid below the paraboloid z=8-x²-y² and above the following region. R={(r,0): 1sr≤2,0 ≤0 ≤ 2} |z=8-x²-y²
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please also find the volume
Transcribed Image Text:Find the volume V of the solid below the paraboloid z = 8 - x² - y² and above the following region.
R={(r,0): 1≤r≤2,0 ≤0≤ 2}
Set up the double integral, in polar coordinates, that is used to find the volume.
SSO drde
(Type exact answers.)
|z=8-x²-y²
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