First, calculate the radius of the cone:
Radius = Diameter/2 = 12 cm / 2 = 6 cm
Now, use the slant height and radius to calculate the lateral surface area of the cone:
Lateral Surface Area = π * radius * slant height
Lateral Surface Area = 3.14 * 6 cm * 8 cm
Lateral Surface Area = 150.72 square centimeters
Next, calculate the base area of the cone:
Base Area = π * radius^2
Base Area = 3.14 * (6 cm)^2
Base Area = 3.14 * 36 cm^2
Base Area = 113.04 square centimeters
Total Surface Area = Lateral Surface Area + Base Area
Total Surface Area = 150.72 square centimeters + 113.04 square centimeters
Total Surface Area = 263.76 square centimeters
Therefore, the option 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