we know that
The volume of the cylinder is equal to
![V=B\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/yfzbaicbitliay86gi4ymrsrcoxzw1080e.png)
where
B is the area of the base and h is the height of cylinder
we have that
![B=\pi\cdot r^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/ucjqi24agwkyd4m5shxcajp8dpygbbd52j.png)
we have
pi=3.14
r=4 ft
substitute
![\begin{gathered} B=3.14\cdot4^2 \\ B=50.24\text{ ft\textasciicircum{}2} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f2zdg9bgl8511qojpljzpqup97b5a9oco0.png)
Find the volume
![V=B\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/yfzbaicbitliay86gi4ymrsrcoxzw1080e.png)
we have
B=50.24 ft^2
h=17 ft
substitute
![\begin{gathered} V=50.24\cdot17 \\ V=854.1\text{ ft\textasciicircum{}3} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/it1z4dipi0m1ece52lyoxy0xvg8es0qkt5.png)
the volume is about 854.1 cubic feet