The volume of a cylinder (vc) is given by:
[tex]v_c = \pi r^2h[/tex]
In this case, you are given the diameter, and the radius is diameter/2. So, it will be:
[tex]r = \frac{17.5}{2} = 8.75 [/tex]
Now, you have everything given to plug into the equation. Let's do that:
[tex]v_c = (3.14)(8.75)^2(24.5)[/tex]
Simplify and solve to get:
[tex]v_c = 5889.95 [/tex]
So, your answer is 5889.95 ft³.
