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Aladdin
Aladdin
9:44 AM
@MartinSleziak can you help me with the limts again
0
Q: Triple integral in different coordinate systems.

HedgehogMy task is to write volume integral in 3 coordinate systems : Cartesian, cylindrical and spherical. This integral shows volume of intersection of 2 spheres, first with center at $(0, 0,-3)$ and radius $5$ and second with center at $(0,0, 3)$ and radius $\sqrt{13}$.I am able to do it for Cartesian...

calculus integration coordinate-systems spherical-coordinates cylindrical-coordinates
so i am want to try with spherical coordinates here
isn't the intersection just a circle
of the two spheres
so what exactly volume are we calculating here
 
 
2 hours later…
Aladdin
Aladdin
12:04 PM
ok what i understood:
all y values belong to x^2+y^2<=9
all x values same :
Z values if i am correct varies from the lower portion of the upper circle to z=point of intersection
 

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