where is the disk with radius from to .
And this is equivalent to,
Where is the volume made of the sphere with radius bounded by the plane (the upper half) and making angles to .
In spherical coordinates that is,
Sorry for the bad drawing.
So I am supposed to find an equivalent integral in spherical coordinates,
rectangular coordinates and then evaluate the integral.
I know im supposed to use the rules z = rho cos phi
r = rho sin phi
for spherical, but do I just substitute it in? And what do I change the range of the integrals to.
And for rectangular I know I use x = r cos theta
y = r sin theta
z = z
But also I am not suer what to change the ranges to.
And then from there I'll have to evaluate the integral.
Please Help!!~ A similar problem, or some work would be great in helping me solve this.
I have also made an identical thread in the calculus section. I hope Mods don't mind.
where is the disk with radius from to .
And this is equivalent to,
Where is the volume made of the sphere with radius bounded by the plane (the upper half) and making angles to .
So thats the Rectangular coordinates? What would the limits be? 0-2 pi/2 - pi ?
And then I would evaluate that integral? would it matter which one I used, all of them should come out the same answer right?