Your friend brings hot chocolate to school in the cylindrical thermos and drinks from her cylindrical mug shown.

1. your friend fills the thermos with hot chocolate to a height of 10 inches. how much does she bring to school? leave your answer in terms of π.

2. the inside bottom of the mug is 4 inches from the top. find the volume of the mug. leave your answer in terms of π. 3(π)in^3?

3. each time your friend fills the mug, she fills it 80% full and then drinks it completely before filling up again. how much hot chocolate does she pour into the mug each time? leave your answer in terms of π.

4. is the mug more than half full after the last pour from the thermos? justify your answer.