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