Answer:
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.
