Gaokao Math Practice Question

已知正四棱雉的侧棱长为 $l$, 其各顶点都在同一球面上. 若该球的体积为 $36 \pi$, 且 $3 \leq l \leq 3 \sqrt{3}$, 则该正四棱雉体积的取值范围是 ($\qquad$)

1. A.$\left[18, \frac{81}{4}\right]$
2. B.$\left[\frac{27}{4}, \frac{81}{4}\right]$
3. C.$\left[\frac{27}{4}, \frac{64}{3}\right]$
4. D.[18, 27]