In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.
The formula of surface area of cylinder is
[tex] A= 2 \pi r^2 + 2 \pi r h [/tex]
Substituting the values of A and r, we will get
[tex] 791.68 = 2* \pi * 9^2 + 2 * \pi * 9*h
\\
791.68 = 162 \pi + 18 \pi h
\\
791.68 -162 \pi = 18 \pi h
\\
h = \frac{791.68 -162 \pi}{18 \pi}
\\
h =5 units [/tex]
So the height of the cylinder is 5 units .
