A solid toy is a cone standing on a hemisphere…

Step 1. The slant height. $l = \sqrt{6^2 + 6^2}\ \text{cm} = 6\sqrt{2}\ \text{cm}$, which is $8.485\ \text{cm}$.

Step 2. The cone. $\pi r l = \pi \times 6\ \text{cm} \times 6\sqrt{2}\ \text{cm} = 36\sqrt{2}\,\pi\ \text{cm}^2$.

Step 3. The hemisphere. $2\pi r^2 = 72\pi\ \text{cm}^2$.

Step 4. The total. $36\sqrt{2}\,\pi + 72\pi = 36\pi(\sqrt{2} + 2)\ \text{cm}^2$.

Step 5. The decimal. $\sqrt{2} + 2 = 3.41421$, and $36\pi \times 3.41421 = 386.1\ \text{cm}^2$.