Answer:
The height is 6 inches
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height
Substituting what we know
80pi = 2 pi (4)^2 + 2 pi *4 *h
80pi = 32 pi + 8 pi h
Divide each side by pi
80 = 32 + 8 h
Subtract 32 from each side
80-32 = 8h
48 = 8h
Divide each side by 8
6 =h
