The volume of a cylinder is given as;
[tex]\begin{gathered} Vol=\pi\times r^2\times h \\ r=3 \\ h=10.5 \\ \text{Vol}=3.14\times3^2\times10.5 \\ Vol=3.14\times9\times10.5 \\ \text{Vol}=296.73in^3 \end{gathered}[/tex]Therefore, from the options provided, the closest to the volume of the container is 296.88 cubic inches.
Option B is the correct answer