Micheal has a sink that is shaped like a half-sphere. the sink has a volume of 3000/3π in^3. one day, his sink is clogged. he has to use one of two cylindrical cups to scoop the water out of the sink. the sink is completely full when micheal begins scooping.

a) one cup has a diameter of 6 in and a height of 8 in. how many cups of water must micheal scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.

b) one cup has a diameter of 10 in and a height of 8 in. how many cups of water must micheal scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number.