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Solved Problems-10

Problem-10
Use the spherical coordinate system to find the area of the strip Description: 82213.png on the spherical shell of radius ‘a’. What results when Description: 82202.png and Description: 82193.png?
Solution
For a fixed radius of a, the elemental surface is,
Description: 82186.png 
Hence, the area of the strip is given as,
Description: 82178.png 
 
For Description: 82171.png and Description: 82162.png, the area is,
Description: 82155.png 
This is the area of a sphere of radius a.
 





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