- #1
FunkyDwarf
- 489
- 0
Hey guys!
Just a quick question. As usual I am sure I am missing something stupid but if you can help me get my head around it id appreciate it (ie sorry if it seems a mundane error)
Find the mass of the solid T outside the sphere [tex]x^2 + y^2 + z^2 = 1 [/tex]
and inside the sphere [tex]x^2 +y^2 + z^2 = 2z
[/tex]
Ok clearly given theyre spheres spherical coordinates is the go, but i kinda hit a stang finding the boundary for the radius or rho.
Clearly the first sphere has radius one, but what about the 2nd one? Given its related to 2z it would seem more of an ellipse type thing...
given that the LHS is r^2 i used the relation z = rcos(phi) which gives the upper bound of r as cos(phi)
Does that sound right?
Cheers
-G
Just a quick question. As usual I am sure I am missing something stupid but if you can help me get my head around it id appreciate it (ie sorry if it seems a mundane error)
Homework Statement
Find the mass of the solid T outside the sphere [tex]x^2 + y^2 + z^2 = 1 [/tex]
and inside the sphere [tex]x^2 +y^2 + z^2 = 2z
[/tex]
Homework Equations
Ok clearly given theyre spheres spherical coordinates is the go, but i kinda hit a stang finding the boundary for the radius or rho.
The Attempt at a Solution
Clearly the first sphere has radius one, but what about the 2nd one? Given its related to 2z it would seem more of an ellipse type thing...
given that the LHS is r^2 i used the relation z = rcos(phi) which gives the upper bound of r as cos(phi)
Does that sound right?
Cheers
-G