The volume of a cylinder is given by:
[tex]V=h\pi r^2[/tex]where h is the height and r is the radius. In this case the height is 4.5 ft and since the diameter is 16 ft, this means that the radius is 8 ft. Plugging this values into the equation above we have:
[tex]\begin{gathered} V=(4.5)(\pi)(8) \\ V=36\pi \end{gathered}[/tex]Therefore the capacity of the swiming pool is:
[tex]36\pi[/tex]cubic feet.
