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

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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

Mathematics
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do u know anything about Torricelli's law
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..
\[\frac{ dv }{ dt }=-a \sqrt{2gh}\]

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Other answers:

and
nope! havent met that before .. what does the right side of the equation mean/stand for?
\[A(h) \frac{ dh }{ dt}=-k \sqrt{h} \]
where K is a constant
Thanks for that
-a is area btw

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