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.

Question

A. 251 square meters
B. 452 square meters
C. 502 square meters
D. 1,306 square meters

Answer 1

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

Lateral Surface Area = πr * slant height

Given that the diameter of the cone is 16 meters, the radius (r) would be half of the diameter, so r = 8 meters.

Plugging in the values:

Lateral Surface Area = 3.14 * 8 * 10
Lateral Surface Area = 251.2 square meters

Therefore, the closest choice to the lateral surface area of the cone is:

A. 251 square meters