You have a cone shaped bag. At the bottom of the bag is an orange with a radius of 2 inches. On top of the orange is a melon with a radius of 6 inches. It touches the orange and fits snugly in the bag, touching it in a ring around the orange. Its top is at the same level as the top of the bag. All of this is illustrated in this crude figure:

The height of the cone is inches, and its radius is inches.

**Hint:** Draw a picture. Note that the radii of the orange and the melon meet the cone perpendicularly where it touches the fruit.

I have no idea how to attack this problem! HELP!