EXPLANATION
Let's see the facts:
Radius = r = 9cm
Height = h = 15cm
The formula of the surface of the cylinder is:
[tex]\text{Surface}_{cylinder}=2\pi r^2+2\cdot\pi\cdot r\cdot h[/tex]
Replacing terms:
[tex]\text{Surface}=2\cdot\pi\cdot(9^2)+2\cdot\pi\cdot9\cdot15[/tex]
Computing the power:
[tex]\text{Surface}=2\cdot\pi\cdot81+2\cdot\pi\cdot9\cdot15[/tex]
Multiplying numbers:
[tex]\text{Surface}=162\cdot\pi+270\cdot\pi[/tex]
Simplifying:
[tex]\text{Area}=432\cdot\pi=1357.16cm^2[/tex]
