word problem involving law of sine

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.

Find height of the cone and its radius.

i drew the picture, i have half of the cone angles as 90 degrees, 60 degrees and 30 degrees. I dont know what to do with the radius of the orange and the melon. can someone help?