Final answer:
To find the surface area of a cone, we add the area of the base to the area of the curved surface. Plugging in the values for the radius and slant height, we can calculate the surface area.
Step-by-step explanation:
To find the surface area of a cone, we need to add the area of the base to the area of the curved surface. The formula for the surface area of a cone is given by A = πr² + πrl, where r is the radius and l is the slant height.
In this case, the radius is 13 meters and the slant height is 28 meters. Plugging these values into the formula, we get A = 3.14*(13^2) + 3.14*13*28. Calculating this gives us the surface area of the cone.
A = 3.14*169 + 3.14*13*28 = 530.66 + 1140.64 = 1671.3 square meters.