How to find the volume of a sphere [spherical coordinates]

[Another]

i don't know to using limit of r ?

 

[Another]

i'm sorry i mean hemi-sphere of : sqrt[x^2+y^2+(z-a)^2] = R

 

[fresh_42]

I think there are mistakes between line 3 and 4. Where did you get the subtraction from? Shouldn't it be a multiplication? Also the cosine values seem wrong. And finally, why did you stop at the easiest of all integrals at the end $\int r^2dr$ from $r= 0$ to ?

 

[fresh_42]

Please do not open more than one thread with the same topic, especially if the two are both ambiguous: with or without cone, what is $a$ needed for and what is $r$ in your other thread. Furthermore, do not delete the homework template, use it! It makes reading a lot easier and if you delete it, it can be viewed as disrespectful to those who are willing to answer.

Thread closed.
The duplicate is https://www.physicsforums.com/threads/how-to-find-hemi-sphere-on-the-cone.939376/#post-5938849