Chapter 13, Problem 59P

(a)

To determine

The proof that the level of liquid, $h=y_2-y_1$ drops at the rate of $\frac{dh}{dt}=-\sqrt{\frac{2gh{A}_1{}^2}{A_2{}^2-A_1{}^2}}$.

(b)

To determine

The value of $h$ as a function of time.

(c)

To determine

The time required to empty a tank $10.6\text{cm}$ tall and filled with $1.3\text{L}$ of water when opening at the bottom has diameter of $0.50\text{cm}$.