note: science & culture malus is additive
1 city: 110% cost
5 cities: 150% cost
10 cities: 200% cost
40 cities: 500% cost
Settling a new city always reduce your effective scientific advance. But in the long term, you may improve this new city and make it pay for your loss.
Why going wide? => more unit production, more gold to rush units, more max unit limit. => war! (and also more paper for diplo units and more prod/gold to build them).
why going tall? => better (mean) spots for cities, better culture (as culture prod can't increase as well as science with city number), bonus to tourism. => pacifist.
edit:
Example: I have 10 cities that each produce at least 15 science. It's now impossible for me to settle any new cities that will beat the 10% increase cost of the city itself if any city sites are only capable of producing 14 science or less.
your ten cities: 150s for 200% cost => like 75s
your eleven cities: 164s for 210% cost => like 78s
It's better with your 11th city, by 3s.
Check your mean s/city: here it's 15, so you need for your x° city at least 15*(1-(1/(1+(x-1)/10))) science per turn
This number increase but it can't be higher than your mean science per turn (asymptote)
(It's a "bad" idea in your example if it was your 141° city)
note: You didn't consider not-city science sources in your example.