A solid hemisphere is cemented on the flat surface of a solid cylinder of same radius $$R$$ and same material. The composite body is rotating about the axis of the cylinder of length $$l$$ with angular speed $$\omega$$. The radius of gyration $$K$$ is

A

$$R\sqrt{\frac{2(15R + 8l}{5(3R + 2l)}}$$

B

$$R\sqrt{\frac{15l + 8R}{10(3l + 2R)}}$$

C

$$R\sqrt{\frac{3(15l + 8R)}{10(3l + 2R)}}$$

D

$$R\sqrt{\frac{1(3l + 2R)}{10(15l + 8R)}}$$