Answer:
Since I have no idea if you are asking for the total surface area or the lateral surface area. I’ ll answer both.
Given: radius = 10 cm and height = 12 cm
R = radius of base, h = height of cone, and s = slant height [s = R2+h2−−−−−−−√ ]
Total surface area: (T)
T = π⋅R⋅(R+s)=π⋅R⋅(R+R2+h2−−−−−−−√)
T = π⋅10⋅(10+102+122−−−−−−−−√) = 804.8917254 sq cm or ≈ 80.49 sq m
Lateral surface area: (S) [base excluded]
S = π⋅R⋅s=π⋅R⋅R2+h2−−−−−−−√
S = π⋅10⋅102+122−−−−−−−−√ = 490.7324601 sq cm or ≈ 49.07 sq m
