Question

Let D be the smaller cap cut from a solid ball of radius 2 units by...

Let D be the smaller cap cut from a solid ball of radius 2 units by a plane 1 unit from the center of the sphere. Express the volume of D as an interated triple integral in (a) spherical and (b) cylindrical coordinates. I was able to calculate the rectangular coordinates, however I do not understand how I should converse those to spherical and cylindrical coordinates.

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