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.

Given,

Diameter of the cone = 12 cm

Using the above, Radius of the cone can be determined, which is half the diameter of the cone

Therefore,

Radius of the cone (r) = 12/2 = 6 cm

Slant height of the cone (s) = 8 cm

π = 3.14

We need to find the total surface area of the cone.

Total surface area of the cone (A) = Lateral surface area of the cone (L) + Base surface area of the cone (B)

Lateral surface area of the cone (L) = π r s = 3.14 x 6 x 8 = 150.72 cm²

Base surface area of the cone (B) = π r² = 3.14 x 6² = 3.14 x 6 x 6 = 113.04 cm²

Total surface area of the cone = L + B = 150.72 + 113.04 = 263.76 cm²