Question 892416
The lateral area LA can be found by multiplying the circumference of the circle by the height of the cylinder:
{{{LA = 2*(pi)*r*h = 2*(pi)*4*6 = 48(pi)}}}
The combined areas of the circular top and bottom is 
{{{A[c] = 2*(pi)*r^2 = 2*(pi)*4^2 = 32(pi)}}}.

Thus the total surface area TA is {{{TA = 48*(pi) + 32*(pi) = 80*(pi)}}} square units.