To find the total surface area of the cone, we need to find the lateral surface area and add the area of the base.
First, we can calculate the radius of the cone:
Radius = Diameter / 2 = 12 cm / 2 = 6 cm
Next, we can calculate the lateral surface area of the cone using the slant height and radius:
Lateral Surface Area = π * r * l = 3.14 * 6 cm * 8 cm = 150.72 square cm (approximately)
Now, we need to calculate the area of the base:
Base Area = π * r^2 = 3.14 * 6 cm * 6 cm = 113.04 square cm
Total Surface Area = Lateral Surface Area + Base Area
Total Surface Area = 150.72 square cm + 113.04 square cm
Total Surface Area ≈ 263.76 square cm
Therefore, the answer that is closest to the total surface area is:
B. 264 square centimeters
The cone shown has a diameter of 12 centimeters and a slant height of 8 centimeters. Which choice is closest to the total surface area? Use 3.14 to approximate pi.
A. 151 square centimeters
B. 264 square centimeters
C. 301 square centimeters
D. 754 square centimeters
1 answer