(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The volume V of water in a particular container is related to the depth h of the water by the equation dV/dh below. If V = 0 when h = 0, find V when h = 4.

2. Relevant equations

dV/dh = 16 sqrt(4-(h-2)^{2})

V(0) = 0

V(4) = ?

3. The attempt at a solution

I have not gotten the ODE in a form that I can integrate using separation of variables. I have gotten to the point dV/dh = 16 sqrt(-h^{2}+4h) but this doesn't help much.

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# Homework Help: Separable Differential Equation

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