Calc 3 15.7 Notes: Triple Integrals in Cylindrical Coordinates

Objectives:
8. Use iterated integrals to evaluate triple integrals in cylindrical coordinates.
9. Find volumes using iterated integrals in cylindrical coordinates.
Ch 15 playlist: • Calculus 3 Chapter 15:...
PDF copy of the notesheets: drive.google.com/file/d/1-CKV...

[@danielhernandez6586]

I just finished watching the 15.7 video from 4 years ago. Thank you for being such a great instructor!

[@everythinggush]

Hi, so how do we know when to find the intersection between x and y and when to just sketch the region D from the graph we graphed.

[@user-ld3zw5mn9z]

In 11:37, why are the boundaries of r from 0 to 1 and not -1 to 1.
When you project the hemisphere, you will get x^2+y^2 = 1.

[@TebogoMogane4136]

r is the radius measured from the origin to the boundary so it ranges from 0 to 1 and is always positive (it's the distance from the origin to the boundary).

[@user-ld3zw5mn9z]

@@TebogoMogane4136 Thank you very much.