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Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r=2 and the pla

Posted: Thu Jul 14, 2022 4:35 pm
by answerhappygod
Use Cylindrical Coordinates To Find The Volume Of The Region In The First Octant Bounded By The Cylinder R 2 And The Pla 1
Use Cylindrical Coordinates To Find The Volume Of The Region In The First Octant Bounded By The Cylinder R 2 And The Pla 1 (35.25 KiB) Viewed 18 times
Use cylindrical coordinates to find the volume of the region in the first octant bounded by the cylinder r=2 and the plane z=x. Set up the triple integral using cylindrical coordinates that should be used to find the volume of the region as efficiently as possible. Use increasing limits of integration. ∫02π​​∫02​∫0rcosθ​(r)dzdrdθ The volume is (Type an exact answer, using π as needed.)