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surface area of a cone = πrl, where l is the slant height, (the hypotenuse)
l^2 = r^2 + h^2, h being the height
l^2 = 6^2 + 8^2 = 36+64
l = 10
lateral surface area of cone = π(6)(10) cm^2
= 60Ï€ cm^2