The surface area of the given shape is 285.01 ft²
<h3>Surface area of a cone </h3>From the question, we are to calculate the surface area of the given shape.
The given shape in the diagram is a cone.
The surface area of a cone is given by the formula,
Where S is the surface area
r is the radius
and is the slant height
First, we will calculate the slant height of the cone
(<em>Pythagorean theorem</em>)
∴ The slant height is 10.6 ft
Now, for the surface area
S ≅ 285.01 ft²
Hence, the surface area of the given shape is 285.01 ft²
Learn more on Calculating surface area of a cone here: brainly.com/question/27812847
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