The volume of a cylinder (vc) is given by:
![v_c = \pi r^2h](https://img.qammunity.org/2019/formulas/mathematics/college/jc4dx7aan75gz2o44xjwbpgft5nv0cgjqg.png)
In this case, you are given the diameter, and the radius is diameter/2. So, it will be:
![r = (17.5)/(2) = 8.75](https://img.qammunity.org/2019/formulas/mathematics/college/ax005tstmvvj3w4pliyx7tregm5ln4mhrv.png)
Now, you have everything given to plug into the equation. Let's do that:
![v_c = (3.14)(8.75)^2(24.5)](https://img.qammunity.org/2019/formulas/mathematics/college/p9x6k8mysrae72binndse71eptf9vf7wd1.png)
Simplify and solve to get:
![v_c = 5889.95](https://img.qammunity.org/2019/formulas/mathematics/college/dzehxznst0o6xmm1qziqf9r4y04cw6zik0.png)
So, your answer is
5889.95 ft³.