Answer: 251 square meters.
Step-by-step explanation:
You need to use the formula for calculate the lateral surface area of a cone:
[tex]LA=3.14rl[/tex]
Being "r" the radius of the cone and "l" the slant height.
Calculate the radius:
[tex]r=\frac{diameter}{2}\\\\r=\frac{16m}{2}\\\\r=8m[/tex]
Now that you know the radius and the slant height of the cone, you need to substitute them into the formula for calculate the lateral surface area of the cone:
[tex]LA=(3.14)(8m)(10m)\\LA=251.2m^2[/tex]
Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.
