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