To determine which number is between \( \pi \) and \( \sqrt{11} \), we need to calculate the approximate values of these two constants.
- \( \pi \) is approximately \( 3.14 \).
- \( \sqrt{11} \) is approximately \( 3.32 \) (since \( \sqrt{11} \) is between \( 3.3^2 = 10.89 \) and \( 3.4^2 = 11.56 \)).
Now, we can see that \( 3.14 < 3.32 \). The range between \( \pi \) and \( \sqrt{11} \) is therefore roughly between \( 3.14 \) and \( 3.32 \).
Now, we need to identify some numbers to see which one fits within this range. Possible candidates could be:
- 3.15
- 3.3
- 3.4
Of these, \( 3.15 \) and possibly \( 3.3 \) are between \( \pi \) and \( \sqrt{11} \), while \( 3.4 \) is not.
So, any number in the range of approximately \( 3.14 < x < 3.32 \) would be a valid answer.