Find the surface area of the cone. Use 3.14 for pi and round to the nearest 10th. Diameter is 6ft and height is 7.6ft.

105.2 ft²

Step-by-step explanation:

The diameter of the base of the cone is 6 ft which means its radius is:

r = d / 2 = 6 / 2 = 3 ft

Its height, h, is 7.6 ft.

The surface area of a cone is given as:

A = pi * r(r + √(h² + r²))

Therefore:

A = pi * 3(3 + √(7.6² + 3²))

A = pi * 3(3 + √(57.76 + 9))

A = pi * 3(3 + √(66.76))

A = 9.42(3 + 8.17)

A = 9.42 * 11.17 = 105.2214 ft²

Approximating to the nearest 10th, the surface area of the cone is 105.2 ft².

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