The surface area of the shape is 117.8 km²
Surface area of a cone
From the question, we are to determine the surface area of the figure
The given figure is a cone.
Total surface area of a cone = Area of circular part + Curved surface area
Total surface area of a cone = πr² + πrl = πr(r + l)
Where r is the radius
and l is the slant height
From the given information,
r = 3 km
l = 9.5 km
The total surface area of the cone = π×3(3+9.5)
The total surface area of the cone = 3π(12.5)
The total surface area of the cone = 117.8 km²
Hence, the surface area of the shape is 117.8 km²
Learn more on Surface area of cone here: https://brainly.com/question/27812847
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