Given:
- Radius of the base of the cone = 12 m
- Slant height of the cone = 9 m

To find:
- Total surface area of the cone

Formula:
The total surface area of a cone is given by the formula:
Total Surface Area = πr(r + l)

Where:
- π is the mathematical constant pi (approximately 3.14159)
- r is the radius of the base of the cone
- l is the slant height of the cone

Calculation:

1. Find the base circumference of the cone:
The circumference of the base is given by the formula:
C = 2πr

Substituting the given radius (r = 12 m) in the formula:
C = 2π(12)
C ≈ 75.398 m (approx.)

2. Find the lateral surface area of the cone:
The lateral surface area is the curved surface area of the cone, excluding the base. It can be calculated using the formula:
Lateral Surface Area = πrl

Substituting the given radius (r = 12 m) and slant height (l = 9 m) in the formula:
Lateral Surface Area = π(12)(9)
Lateral Surface Area ≈ 339.292 m² (approx.)

3. Find the base area of the cone:
The base area is the area of the circular base of the cone. It can be calculated using the formula:
Base Area = πr²

Substituting the given radius (r = 12 m) in the formula:
Base Area = π(12)²
Base Area ≈ 452.389 m² (approx.)

4. Calculate the total surface area of the cone:
The total surface area of the cone is the sum of the lateral surface area and the base area. It can be calculated using the formula:
Total Surface Area = Lateral Surface Area + Base Area

Substituting the calculated values:
Total Surface Area ≈ 339.292 + 452.389
Total Surface Area ≈ 791.681 m² (approx.)

Answer:
The total surface area of the cone is approximately 791.681 m².

R=12m l=9mso we will find height =h h= √l^2-r^2h=√12^2-r^2h=√144-81h =√63h=7.93TSA of cone =1÷3πr^2h=1÷3×22÷7×12×12×7.93= 1196.29I think it can be right.......