Question

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

Answer 1

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,

`\begin{gathered} V=(1)/(3)\pi(r)^2h \\ =(1)/(3)\pi((d)/(2))^2h \\ =(1)/(12)\pi(d)^2h \end{gathered}`

Substitute the given values in the above expression.

`\begin{gathered} V=(1)/(12)(3.14)(16ft)^2(25\text{ ft)} \\ =1,674.67ft^3 \end{gathered}`

Thus, the volume of the tent is 1,674.67 cubic-ft.