Volume usingiterated triple integral

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 1K views
MozAngeles
Messages
100
Reaction score
0

Homework Statement



Write an iterated triple integral in the order dzdydx for the volume of the region in the first octant enclosed by the cylinder x2+y2=4 anf the plane z=4. (You do not need to evaluate)

Homework Equations





The Attempt at a Solution


I think I have the right set up, but I wanted to make sure. V=∭ dzdydx ... x from 0 to 2, y from -sqrt(4-x2) to sqrt(4-x2) and z from 0 to 4...

Thanks for the help in advance


 
Physics news on Phys.org
MozAngeles said:

Homework Statement



Write an iterated triple integral in the order dzdydx for the volume of the region in the first octant enclosed by the cylinder x2+y2=4 anf the plane z=4. (You do not need to evaluate)

Homework Equations





The Attempt at a Solution


I think I have the right set up, but I wanted to make sure. V=∭ dzdydx ... x from 0 to 2, y from -sqrt(4-x2) to sqrt(4-x2) and z from 0 to 4...

Thanks for the help in advance

-sqrt(4-x2) isn't the first octant.