We are asked to solve for the lateral surface area of the cylinder such that the formula that we can used is Lateral Surface Area = 2pi*r*h where "r" represents the radius of the cylinder and "h" represents the height of the cylinder. In this problem, we are given with the following values:
r = 4 inches
h = inches
Solving for the lateral surface area, we have it:
L.S.A = 2 *pi * r* h
L.S.A = 2*pi*4*6
L.S.A = 48pi units squared
The answer is 48pi unit2.