A cylindrical tank, lying on its side, has a radius of $10\,\text{ft}^2$ and length $40 \text{ft}$.

Assume that the tank is half-filled with water and that water leaks through a hole in the bottom of area $B = 2 \,\text{in}^2$. Determine the water level $y(t)$ and the time $t_e$ when the tank is empty.

$y(t) =$

$t_e =$ seconds.