## marigirl one year ago Could someone please help me understand this question and specifically what it means by proportional: Water leaks from the bottom of a tank at a rate proportional to the depth h of the water in the tank. Write down an equation describing this if V is the volume of the water in the tank after time 't' and if the tank is a cylinder show that dh/dt is proportional to h

1. anonymous

do u know anything about Torricelli's law

2. marigirl

if water leaks at the bottom of the tank (dV/dt) at a rate proportional to the depth h of the water in the tank ..how can i write something here..

3. anonymous

$\frac{ dv }{ dt }=-a \sqrt{2gh}$

4. anonymous

and

5. marigirl

nope! havent met that before .. what does the right side of the equation mean/stand for?

6. anonymous

$A(h) \frac{ dh }{ dt}=-k \sqrt{h}$

7. anonymous

where K is a constant

8. marigirl

Thanks for that

9. anonymous

-a is area btw