Answer:
![V=254.46\ in^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/koivw8xga7csizzz3gec8gblathelee4e6.png)
Explanation:
The formula for calculate the volume of a cylinder is the one given in the exercise:
![V=\pi r^2h](https://img.qammunity.org/2021/formulas/mathematics/college/1l8ozclpk7wnbc3iifytlwq8czg1is3e65.png)
Where "r" is the radius and "h" is the height of the cylinder.
You need to observe the figure given in the exercise. You can notice that the radius and the height of that cylinder are the following:
![r=3\ in\\\\h=9\ in](https://img.qammunity.org/2021/formulas/mathematics/high-school/u8bh69oei8sgfdnu2e5p1jl48utio4ponm.png)
Then, knowing those values, you can substitute them into the formula:
![V=\pi (3\ in)^2(9\ in)](https://img.qammunity.org/2021/formulas/mathematics/high-school/yakibsd3bnltmdt7c7m5rpdkkaznnaocng.png)
Finally you must evaluate in order to find the volume of the cylinder. You get the following result:
![V=\pi (9\ in^2)(9\ in)\\\\V=81\pi\ in^3\\\\V=254.46\ in^3](https://img.qammunity.org/2021/formulas/mathematics/high-school/qw4x9psuher8tj12m0j06jrd8siumi0bjl.png)