In the triple integral, you have functions of and as upper limits. You have to translate them into polar coordinates.
9. Use polar coordinates to compute the volume of the region defined by 4 - x^2 - y^2 less or equal to z less than or equal to 10 - 4x^2 - 4y^2.
answer in book: 6pi
my answer: 2pi
I got the root of 2 by setting the equations that bound z equal to eachother. It resulted in an equation for a circle equal to two. And to get the area of a circle, you have to do all 360 degrees, so I used 2pi. What's going wrong here?
Problem solved. No one waste any more time here!