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Calculus III (Assignment Problems) / Multiple Integrals / Triple Integrals in Cylindrical Coordinates   [Notes] [Practice Problems] [Assignment Problems]

Calculus III - Assignment Problems
Applications of Partial Derivatives Previous Chapter   Next Chapter Line Integrals
Triple Integrals Previous Section   Next Section Triple Integrals in Spherical Coordinates

 Triple Integrals in Cylindrical Coordinates

 

1. Evaluate  where E is the region bounded by  and  in the 1st octant.

 

2. Evaluate  where E is the region above , below  and inside the cylinder .

 

3. Evaluate  where E is the region between  and  inside the cylinder .

 

4. Evaluate  where E is the region bounded by  and  with .

 

5. Evaluate  where E is the region between the two planes  and   inside the cylinder .

 

6. Evaluate  where E is the region bounded by  and  with .

 

7. Use a triple integral to determine the volume of the region bounded by , and  in the 1st octant.

 

8. Use a triple integral to determine the volume of the region bounded by , and  in the 1st octant.

 

9. Use a triple integral to determine the volume of the region below , above  and inside the cylinder .

 

10. Evaluate the following integral by first converting to an integral in cylindrical coordinates.

 

 

11. Evaluate the following integral by first converting to an integral in cylindrical coordinates.

 

 

12. Use a triple integral in cylindrical coordinates to derive the volume of a cylinder of height h and radius a.

 

Triple Integrals Previous Section   Next Section Triple Integrals in Spherical Coordinates
Applications of Partial Derivatives Previous Chapter   Next Chapter Line Integrals

Calculus III (Assignment Problems) / Multiple Integrals / Triple Integrals in Cylindrical Coordinates    [Notes] [Practice Problems] [Assignment Problems]

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