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.

A. 170 square meters
B. 339 square meters
C. 424 square meters
D. 1,356 square meters

1 answer

To find the lateral surface area of the cone, we can use the formula:

Lateral surface area = πr * l

where r is the radius of the base of the cone and l is the slant height.

The radius of the cone is half the diameter, so the radius is 18/2 = 9 meters.

Plugging in the values:

Lateral surface area = 3.14 * 9 * 15
Lateral surface area = 423.9 square meters

Therefore, the closest choice to the lateral surface area is C. 424 square meters.