Volume with spherical coordinates

[aronclark1017]

Homework Statement

Volume above cone a=pi/3
Below sphere p=4 cosa

Relevant Equations

why 0<=a<=pi/2 not working?

I believe that I recall only have to use a part of the polar integral using cylindrical system

 

[haushofer]

Maybe I'm a bit dumb, but you have to be a bit more specific if you want to receive help. Personally I can't make anything out of this. If you want people to help you, put effort in a clear opening post.

 

[aronclark1017]

It must be because the pointer is spiraling upward as theta increases when using spherical coordinates. However using cylindrical coordinates it's simply using z. I will have to check z values as theta increases when I get a chance. Will also find the example using cylindrical coordinates. Someone must have a 3d animations program. I currently am in the process of drawing only 2d animation.

 

[FactChecker]

You may need to start at the beginning and describe the problem better. I have no clue what you are talking about.
What is $a$? $a=\pi/3$ is not a cone; it is a single value: $a=3.14159265358979/3 = 1.0471975511966$.
What is $p$? $p=4 \cos(a)$ is not a sphere; it is a single value: $p=2$.
What "pointer"? "Spiraling"??
What are you talking about?

 

[aronclark1017]

You may need to start at the beginning and describe the problem better. I have no clue what you are talking about.
What is $a$? $a=\pi/3$ is not a cone; it is a single value: $a=3.14159265358979/3 = 1.0471975511966$.
What is $p$? $p=4 \cos(a)$ is not a sphere; it is a single value: $p=2$.
What "pointer"? "Spiraling"??
What are you talking about?

a is my reference to the angle off the z axis. This is a cone shape for pi/3 for any angle t in the xy plane. The sphere is p=4cosa similarly where p is the spherical pointer and a is the angle off of the z axis.

 

[FactChecker]

I still don't know what you are talking about. A diagram might help. If you have a question, please don't feed us information a little at a time.

a is my reference to the angle off the z axis. This is a cone shape for pi/3 for any angle t in the xy plane.

Where does 't' come into this?

The sphere is p=4cosa similarly where p is the spherical pointer and a is the angle off of the z axis.

If $a=\pi/3$, then $p=4\cos(\pi/3)=2$. These are constants. They are not cones or spheres. How are you using them to define cones and spheres? You need to show some equations and, maybe, diagrams.