Water flows into a cylindrical vessel of large cross-sectional area at a rate of $10^{-4}$ $m^3/s$. It flows out from a hole of area $10^{-4}$ $m^2$, which has been punched through the base. How high does the water rise in the vessel?
Diffcult
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$A v =10^{-4}$
$v =1 \;m /s$
$v =\sqrt{2 g h}$
$2 g h =1$
$h =\frac{1}{2}$
$h=\frac{1}{2 \times 9.8}=0.051 m$
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