the city of newport news wants to build a new water tower in the downtown area. the civil engineer has…

Explanation:

Step1: Calculate radius of the shapes

The diameter is 8 m, so the radius $r = \frac{8}{2}=4$ m.

Step2: Calculate volume of the cylinder

The formula for the volume of a cylinder is $V_{cylinder}=\pi r^{2}h$. Here, $r = 4$ m and $h = 6$ m. So $V_{cylinder}=3.14\times4^{2}\times6=3.14\times16\times6 = 301.44$ $m^{3}$.

Step3: Calculate volume of the hemisphere

The formula for the volume of a hemisphere is $V_{hemisphere}=\frac{2}{3}\pi r^{3}$. Substituting $r = 4$ m, we get $V_{hemisphere}=\frac{2}{3}\times3.14\times4^{3}=\frac{2}{3}\times3.14\times64\approx133.97$ $m^{3}$.

Step4: Calculate total volume of the water - tower

The total volume $V = V_{cylinder}+V_{hemisphere}=301.44 + 133.97=435.41$ $m^{3}$.

Answer:

$435.41$ $m^{3}$