A container has a $1\times 1$ square bottom, a $3\times 3$ open square top, and four congruent trapezoidal sides, as shown. Starting when the container is empty, a hose that runs water at a constant rate takes $35$ minutes to fill the container up to the midline of the trapezoids. How many more minutes will it take to fill the remainder of the container? $\textbf{(A) }70 \qquad$ $ \textbf{(B) }85 \qquad$ $ \textbf{(C) }90 \qquad$ $ \textbf{(D) }95 \qquad$ $ \textbf{(E) }105$