Answer:
![\boxed{\sf{C. \quad 2160\pi \quad units^3}}](https://img.qammunity.org/2023/formulas/mathematics/college/g59bch41gvepptiiqnh7v08ktokgqnhbot.png)
Explanation:
It is necessary to use their formula to solve this problem with the volume of the cylinder.
Volume of the cylinder formula:
![\Longrightarrow: \sf{V=\pi r^2h}}](https://img.qammunity.org/2023/formulas/mathematics/college/3o6akyvniz6ldoj1s8dwt0oo3vgmpk9j9k.png)
![\sf{12^2(15)}](https://img.qammunity.org/2023/formulas/mathematics/college/hv8peyrmq4t74fd3202n7p3wqccu32vo7z.png)
Solve.
Use the order of operations.
PEMDAS stands for:
- Parentheses
- Exponents
- Multiply
- Divide
- Add
- Subtract
First, solve with exponents.
![\sf{12^2=12*12=144}](https://img.qammunity.org/2023/formulas/mathematics/college/3u5vzlpklidrleij3m6pc8g9zroo278pz3.png)
Then, rewrite the problem down.
144(15)
Multiply.
![\sf{144*15=\boxed{\sf{2160}}}](https://img.qammunity.org/2023/formulas/mathematics/college/1kcu74iyvbpbq8q0ck1hck0l4bomwgcc00.png)
- Therefore, the correct answer is C. 2160π units³.