Applying the principle of homogeneity of dimensions, determine which one is correct, where $$T$$ is time period, $$G$$ is gravitational constant, $$M$$ is mass, $$r$$ is radius of orbit.

A

$$T^2 = \frac{4\pi^2 r^2}{GM}$$

B

$$T^2 = \frac{4\pi^2 r}{GM^2}$$

C

$$T^2 = \frac{4\pi^2 r^3}{GM}$$

D

$$T^2 = 4\pi^2 r^3$$