Find the total surface area of a hemispherical bowl of thickness 'd' and internal radius 'r'.

A

$$4\pi r^{2} + 4\pi rd + 3d^{2}$$

B

$$\pi(4r^{2} + 3rd + d^{2}$$)

C

$$\pi(4r^{2} + 6rd + 3d^{2})$$

D

$$4πr^{2} + 6πrd + 3d^{2}$$