Irem has a cylindrical container completely filled with water and a marble block in the shape of a cylinder with height equal to half the height of this container. When the marble block is placed in the container so that it is completely submerged in water, $\frac{1}{32}$ of the water in the container overflows.
Accordingly, what is the ratio of the base radius of the container to the base radius of the marble block?\\
A) 2\\
B) 3\\
C) 4\\
D) $2\sqrt{2}$\\
E) $4\sqrt{2}$