Loading Solution   
Paul's Online Math Notes
Calculus III (Practice Problems) / Multiple Integrals / Triple Integrals in Cylindrical Coordinates   [Notes] [Practice Problems] [Assignment Problems]

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

 

1. Evaluate  where E is the region bounded by  and . [Solution]

 

2. Evaluate  where E is the region between the two cylinders  and  with  and . [Solution]

 

3. Evaluate  where E is the region between the two planes  and  and inside the cylinder . [Solution]

 

4. Use a triple integral to determine the volume of the region below , above  inside the cylinder  with . [Solution]

 

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

 

[Solution]

 

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

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

© 2003 - 2017 Paul Dawkins