The surface area of a cylinder (S) with radius "r" and height "h" is:
[tex]S=2*\pi *r^2+2*\pi *r*h[/tex]
Also, radius = diameter/2
Given:
r = 6/2 = 3 in
h = 9 in
Substitute the values in the equation and find S:
[tex]\begin{gathered} S=2\pi *3^2+2\pi *3*9 \\ S=2\pi *9+2\pi *27 \\ S=18\pi+54\pi \\ S=72\pi\text{ in}^2 \end{gathered}[/tex]
Answer: The surface area is 72π in².
