So I think I may have seen this before in either Math 54/53, but I don't really get how they changed the dimensions. I was wondering if we need to know how to do this or explain what it's doing. If we are, can someone explain it

ellinzhao

@evan1997123 Not sure how much of spherical coords we need to know but this might be helpful! http://tutorial.math.lamar.edu/Classes/CalcIII/SphericalCoords.aspx

lolzypops

The reason why the range goes from 0 to pi in the inner integral is because that range basically cuts out a vertical half circle. The outer integral traces this half circle around a full circle, forming a sphere. If it were from 0 to 2pi we'd be double counting.

So I think I may have seen this before in either Math 54/53, but I don't really get how they changed the dimensions. I was wondering if we need to know how to do this or explain what it's doing. If we are, can someone explain it

@evan1997123 Not sure how much of spherical coords we need to know but this might be helpful! http://tutorial.math.lamar.edu/Classes/CalcIII/SphericalCoords.aspx

The reason why the range goes from 0 to pi in the inner integral is because that range basically cuts out a vertical half circle. The outer integral traces this half circle around a full circle, forming a sphere. If it were from 0 to 2pi we'd be double counting.