$\"\"$

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Given that surface area (T) of a cone = 293.2 square feet.

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Radius(r) of a cone = 6.1 ft.

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Surface area(T):

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$\"\"$ (Surface area of a cone)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evalute powers)

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Simplify) $\"\"$ $\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Multiply denominator: $\"\"$ )

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$\"\"$ (Divide: $\"\"$ )

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$\"\"$ (Subtract 6.1 from each side)

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$\"\"$ (Simplify)

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$\"\"$ (Subtract: $\"\"$ ) $\"\"$

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The slant height is approximately 9.2 feets.