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Surface of enclosed volume

  • Thread starter brad sue
  • Start date
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1. Homework Statement
Hi,
I have this problem:
the surfaces r=2 and 4, [math]\theta=[/math]30 degrees and 50 degrees, [math]\phi=[/math]20 degrees and 60 degrees identify a closed surface.
1- find the enclosed volume.
2- Find the total area of the enclosed surface. ( I think it is a typo from the teacher. It is volume not surface)

The first question is straigth forward
For the secon question I have some issues.



2. Homework Equations
Do I need to take take each element of surface (in spherical coordinates)
dS1=[tex]r^2[/tex] sin(theta) [tex]d\theta[/tex] [tex]d\phi[/tex]

dS2=[tex]r[/tex]*[tex]dr[/tex][tex]d\phi[/tex]
dS3=[tex]\sin\theta[/tex]*[tex]r[/tex][tex]dr[/tex][tex]d\phi[/tex]



3. The Attempt at a Solution

integrate the according the limits and the total are should be
S= S1+S2+S3
Is my reasonnig correct?
Thank you
B
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution
 
Last edited:

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