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K1 made the cones with a recipe from allrecipes.com.
K2 made the sorbet. Here's the recipe:
Coconut Lime Sorbet
1 1/2 C sugar
1 1/2 C water
1 can coconut milk [13.5 oz]
1/4 C lime juice
Make a syrup with the sugar and water. Bring to a boil and boil until it's clear. Stir constantly. Set aside to cool.
Whisk the coconut milk and lime juice into the syrup. Refrigerate until chilled.
Freeze in an ice cream maker following the manufacturer's instructions. It'll be soft when it's done, so pop it back in the freezer to finish firming up.