Final answer:
The curved surface area of the conical military tent is 491.76 m², calculated using the radius of 12 m and the slant height of 13 m with the formula ℓ = π * r * l.
Step-by-step explanation:
The curved surface area of a cone can be found using the formula:
Curved Surface Area = π * r * l
where r is the radius of the base and l is the slant height of the cone.
In this case, the diameter of the base is 24 m, so the radius is 12 m. The slant height is given as 13 m.
Substituting these values into the formula:
Curved Surface Area = π * 12 * 13 = 156π ≈ 490.88 square meters
The curved surface area of a cone is calculated using the formula ℓ = π * r * l, where π is PI (approximately 3.14), r is the radius of the base, and l is the slant height of the cone.
For a conical military tent with a diameter of 24 m, the radius r is half of the diameter, which means r = 12 m. The given slant height is l = 13 m. Thus, the curved surface area of the tent is ℓ = π * r * l = π * 12 m * 13 m = 3.14 * 12 m * 13 m = 491.76 m².