Question

The cone shown has a diameter of 16 m and a slant height of 10 m which choice is the closest to the lateral surface area

Answer 1

Answer: 251 square meters.

Explanation:

You need to use the formula for calculate the lateral surface area of a cone:

`LA=3.14rl`

Being "r" the radius of the cone and "l" the slant height.

Calculate the radius:

`r=(diameter)/(2)\\\\r=(16m)/(2)\\\\r=8m`

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:

`LA=(3.14)(8m)(10m)\\LA=251.2m^2`

Therefore, the closest choice to the lateral surface area of the cone is: 251 square meters.