I have to solve this problem using spherical coordinate and validate my answer using cylindrical coordinate, but I have 2 different answers, obviously!
Can anyone tell me what I am doing wrong? (See attached file for the problem and what I did)
EDIT: sorry, I used the wrong angle for the limit of , it should be not .
My new answer is 0,420894
EDIT 2: I drew the solid in my cad software and came up with a volume of 0,561.
I tried to do it the long way, calculating the volume of the cone, sphere and cylinder.
H of cone (z) =
Total volume = Cone + Cylinder - Sphere = 14.5104 - + 6.7343 = 4,48953
Since I only need from to (one eight) and not 2 , I divide by 8.