jualin
Nov19-09, 10:54 AM
1. The problem statement, all variables and given/known data
Use a triple integral to find the volume of the solid enclosed by the cylinder z=y2 and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates.
2. Relevant equations
3. The attempt at a solution
I set up the triple integral using these orders of integration:
D = { (x,y,z) | 0 < x < 6, -4 < y < 4, y2 < z < 16 }
And I obtained an answer of 512. I just wanted to make sure that I did all the work correctly, and that someone more experienced could say if it is correct.
Thank you!
Use a triple integral to find the volume of the solid enclosed by the cylinder z=y2 and the planes x=0, x=6, and z=16. Set up the integral in rectangular coordinates and work it out in any coordinates.
2. Relevant equations
3. The attempt at a solution
I set up the triple integral using these orders of integration:
D = { (x,y,z) | 0 < x < 6, -4 < y < 4, y2 < z < 16 }
And I obtained an answer of 512. I just wanted to make sure that I did all the work correctly, and that someone more experienced could say if it is correct.
Thank you!