Respuesta :

Given:

Diameter of sphere=19 ft

Radius of sphere will be,

[tex]\begin{gathered} \text{Radius}=\frac{Diameter}{2} \\ \text{Radius}=\frac{19}{2} \\ \text{Radius}=9.5\text{ ft} \end{gathered}[/tex]

The formula to find the volume of sphere is

[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi(9.5)^3 \\ V=\frac{4}{3}\pi857.375 \\ V=\frac{10774.09}{3} \\ V=3591.36ft^3 \end{gathered}[/tex]

Hence the volume of the sphere is 3591.36 cubic feet.