A swimming pool is being filled with water. The diameter of the pool is 27 feet, and the height if 4 feet. Which formula represents the correct way to find the volume of the pool?

If you are using the word diameter, I am going to assume that the pool is round.  A round pool represents the shape of a cylinder.  The volume for a cylinder is [tex] \pi r^2h[/tex].  Diameter is twice the radius, so our radius is half of 27 which is 13.5 feet.  So our formula is [tex]V= \pi (13.5)^2(4)[/tex].  That's the forumula for it.  That actual volume measure is [tex]729 \pi ft^3[/tex], or multiplying in pi as 3.14, it's 2289.06 cubic feet.