(Solved): Consider the concrete gravity dam shown in (Figure 1). The density of concrete is c=2400kg/m ...

Consider the concrete gravity dam shown in (Figure 1). The density of concrete is ${?}_c=2400\mathrm{kg}/{\mathrm{m}}^3$. The density of water is ${?}_w=1000\mathrm{kg}/{\mathrm{m}}^3$. Suppose that Determine the critical height $h$ of the water level that causes the concrete gravity dam to be on the verge of tipping $h_{\mathrm{d}}=30\mathrm{m}$ and $b=9\mathrm{m}$. over. Assume water also seeps under the base of the dam and produces a uniform pressure under the dam. Hint: Work the problem using a $1?\mathrm{m}$ width of the dam. Express your answer to three significant figures and include the appropriate units.