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The cone shown has a diameter of 18 meters and a slant height of 15 meters. Which choice is closest to the lateral surface area? Use 3.14 to approximate pi.

Respuesta :

since the diameter of the cone is 18 meters, then the radius has to be half that, or 9 meters,

[tex]\bf \textit{lateral surface area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \sqrt{r^2+h^2}=slant~height\\ -----------\\ r=9\\ \sqrt{r^2+h^2}=15 \end{cases}\implies LA=\pi (9)(15) \\\\\\ LA=135\pi [/tex]
BluePencil8

Answer:

The answer is 424

Nope I am not giving you an explanation :D

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