Respuesta :

Using the formula for the volume of a cone,

[tex]V=\pi\ast\frac{r^2\ast h}{3}[/tex]

then, convert both the radius and the height into feet,

[tex]\begin{gathered} r=38m\ast\frac{3.2808ft}{1m}=124.6704ft \\ h=54m\ast\frac{3.2808ft}{1m}=177.1632ft \end{gathered}[/tex]

replace the values in feet in the formula, also use pi as 3.14

[tex]\begin{gathered} V=\frac{(3.14)}{3}\ast(124.6704ft)^2\ast177.1632ft \\ V=2882097.1ft^3 \end{gathered}[/tex]

Answer:

The volume of the cone is:

[tex]2,882,097.1\text{ }ft^3[/tex]

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