Total surface area of a sphere S with radius $$\sqrt2+\sqrt3$$ cm is

A

$$400\pi(5+2\sqrt6)\text{ mm}^2$$

B

$$\pi(\sqrt2+\sqrt3)^2\text{ cm}^2$$

C

$$2\pi(\sqrt2+\sqrt3)^2\text{ cm}^2$$

D

$$40\pi(5+2\sqrt6)\text{ mm}^2$$