The cone shown has a diameter of 16 meters and a slant height of 10 meters. Which choice is closest to the lateral surface area? Use 3.14 to approximate pi.



251 square meters



452 square meters



502 square meters



1,306 square meters

Respuesta :

Answer:

251 square

Step-by-step explanation:

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Answer:

A. [tex]251\text{ m}^2[/tex]

Step-by-step explanation:

We have been given that diameter of a cone is 16 meters and a slant height of 10 meters.

[tex]\text{LSA of cone}=\pi rl[/tex], where,

r = Radius of cone,

h = Slant height of cone.

[tex]r=\frac{d}{2}=\frac{16}{2}=8[/tex]

Upon substituting our given values in above formula we will get,

[tex]\text{LSA of cone}=3.14\times 8\text{ m}\times 10\text{ m}[/tex]

[tex]\text{LSA of cone}=251.32741\text{ m}^2\approx 251\text{ m}^2[/tex]

Therefore, option A is the correct choice.