calculate the surface area of a sphere of which the volume is 9000mm^3

v = 4/3 πr^3

r = ∛(3v/(4π))

a = 4πr^2 = 4π * (3v/(4π))^(2/3)
= ∛(36πv^2)

so, for your sphere,
a = ∛(36π*9000^2) = 900∛(4π) ≈ 2092