Answers:
Lateral area = 24pi square feet
Surface area = 33pi square feet
note: the pi terms are already taken care of, so you just need to input the coefficients
==================================================
Work Shown:
LA = lateral area
BA = base area
SA = surface area = LA+BA
-------
r = radius = diameter/2 = 6/2 = 3 ft
s = slant height = 8 ft
LA = pi*r*s
LA = pi*3*8
LA = 24pi
------
BA = pi*r^2
BA = pi*3^2
BA = 9pi
------
SA = LA + BA
SA = 24pi + 9pi
SA = 33pi