Answer:
Total surface area is 565.5 mm²
Step-by-step explanation:
[tex]{ \rm{total \: s.a = 2\pi rh + 2\pi {r}^{2} }} \\ \\ { \rm{total \: s.a = 2\pi r(h + r)}}[/tex]
[tex]{ \rm{total \: s.a = (2 \times 3.14 \times 6)(9 + 6)}} \\ \\ { \rm{total \: s.a = 565.5 \: {mm}^{2} }}[/tex]