Given data:
The given height of the tent is h=25 feet .
The given diameter is d=16 feet.
The expression for the volume of the tent is,
[tex]\begin{gathered} V=\frac{1}{3}\pi(r)^2h \\ =\frac{1}{3}\pi(\frac{d}{2})^2h \\ =\frac{1}{12}\pi(d)^2h \end{gathered}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} V=\frac{1}{12}(3.14)(16ft)^2(25\text{ ft)} \\ =1,674.67ft^3 \end{gathered}[/tex]Thus, the volume of the tent is 1,674.67 cubic-ft.