An artist duo (Artist A and Artist B) were hired to make a large blue sphere resembling the earth. They decided to make it out of three sections, two spherical caps and one middle ring with the same width when seen with a 2D perspective (see picture).
When they were deciding how to split up the work, Artist A said he wanted to paint the two spherical caps, leaving Artist B with the middle section.
Who is getting the better deal (i.e. who gets to use less paint)? If one is painting more, how much more paint will that artist have to use?
Part 2: If they had split up the sphere into 5 parts of equal width and Artist A still got the two spherical caps while Artist B got the middle strip, then what would the answer be? (The remaining two strips would be outsourced)
Note: This will probably be answered within minutes, but for future viewers, try answering this without looking it up before checking the answer.