A tent is in the form of a cone. What is the volume of the tent ,which is 25 feet tal and 16 feet in diameter? use 3.14 for pi. Round to the nearest hundredth

Respuesta :

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.

ACCESS MORE
EDU ACCESS