Question 470267
The total surface area of the cylinder is given by the formula:

{{{A=2(pi*r^2+pi*r*h)}}}, where h is the height and r the radius.

Substituting our values for A, r and h we have:

{{{104*pi=2(pi*4^2+pi*4*h)}}}, solving this equation for h we get:

{{{h=(52*pi-16*pi)/(4*pi)}}} <=> {{{h=36*pi/(4*pi)}}} <=> {{{h=9 m}}}.