Yes, most definitely.
EDIT: a brief note on how high your Strength needs to be before Arcane Might to cast your highest level of spells:
{table]Level|Strength
1|10
2|10
3|5
4|15
5|15
6|7
7|17
8|17
9|17
10|17
11|27
12|12
13|22
14|22
15|14
16|14
17|24
18|3
19|13
20|13[/table]
A bit wonky in places, as you can see. Consider a different progression for either Arcane Might or spellcasting, maybe? Otherwise, sucks to be level 11.