Hi,

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)

Thanks, Mike.

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) =

Cone: V=

Sphere: V=

Cylinder: V=

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.