The lateral surface area of the cone is 180.9 cm².
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
Lateral surface area = πr√(h² + r²)
Where:
3.14 x 6.4 x √(6.33² + 6.4²)
= 180.9 cm
To learn more about a cone, please check: https://brainly.com/question/13705125