The circumference of a circle is given by the formula:
![C=2\pi r](https://img.qammunity.org/2023/formulas/mathematics/high-school/noytl63lm1q06t23qsdkycir68uwxrmxzb.png)
Since the circumference of this cylinder base is 18π, we can find its radius:
![\begin{gathered} 18\pi=2\pi r \\ r=(18\pi)/(2\pi)=9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/udiuwar5hdnmrz0ipz83zi80ce8r9kinuu.png)
Now, in order to calculate the cylinder volume, we can use the formula:
![V=\pi r^2h](https://img.qammunity.org/2023/formulas/mathematics/high-school/axumboiozoejyargdo4sskcbefipwsp4rb.png)
Using r = 9, h = 30 and π = 3.14, we have:
![\begin{gathered} V=3.14\cdot9^2\cdot30 \\ V=7630.2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1fe33ile5q64z1yfm963ptm885nusytudz.png)
So the correct option is H.