Discussion
If rate of flow of water of tank's inlet and outlet is constant so rate of change of volume w.r.t time i.e dV/dt will be
Answer: D
Volume changes at the difference between what flows in and what flows out.
\[ \frac{dV}{dt} = \text{rate in} - \text{rate out} \]
The two rates are equal and constant, so the difference is zero:
\[ \frac{dV}{dt} = 0 \]
The volume is therefore constant - the tank is in steady state, neither filling nor draining.
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