A hollow spherical metallic ball has an external diameter 6 cm and is $$\frac{1}{2}$$ cm thick. The volume of metal used in the ball is :

• A. $37\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$
• B. $40\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$
• C. $41\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$
• D. $47\frac{2}{3}{\text{ c}}{{\text{m}}^3}$$