6. A reservoir behind a dam is 15 m deep. What is the pressure a.At the base of the dam? b. 5.0m from the top of the dam?

## Step 1<br />The pressure at a certain depth in a fluid is given by the formula:<br />### \(P = \rho gh\)<br />where:<br />- \(P\) is the pressure,<br />- \(\rho\) is the density of the fluid,<br />- \(g\) is the acceleration due to gravity, and<br />- \(h\) is the height of the fluid column above the point in question.<br /><br />## Step 2<br />For part a, we need to calculate the pressure at the base of the dam. The height of the fluid column is the depth of the reservoir, which is 15 m. The density of water is approximately 1000 kg/m^3, and the acceleration due to gravity is approximately 9.8 m/s^2.<br /><br />## Step 3<br />For part b, we need to calculate the pressure 5 m from the top of the dam. The height of the fluid column is the depth from the top of the dam to the point in question, which is 10 m.