Calc 3- Triple Integral using cylindrical coordinates

[krtica]

Use cylindrical coordinates to evaluate the triple integral , sqrt(x^2+y^2) where the region integrated is the solid bounded by the circular paraboloid z=9-16(x^2+y^2) and the xy-plane.


I'm having trouble deciding what the bounds for r would be.

 

[lanedance]

try drawing a cross section, say in the x-z plane

you should be able to find r as a function of z & the z bounds should be clear from the problem

 

[krtica]

Thank you!

 

[lanedance]

no worries ;)