What is the height of cylinder with a surface area of 226.08 square meters and a radius of 3 meters? (use 3.14 for π.) 27 meters 18 meters 3 meters 9 meters

We know that
surface area of cylinder=2*[area of the base]+perimeter of base*height

area of the base=pi*r²
r=3 m
area of the base=pi*3²> 28.26 m²

perimeter of the base=2*pi*r
r=3 m

perimeter of the base=2*pi*3> 18.84 m

surface area=226.08 m²
226.08=2*[28.26]+18.84*h> 18.84*h=226.08-2*28.26
18.84*h=169.56> h=169.56/18.84> h=9 m

the answer is
9 m

The answer that i got was 8/3