1. Zion has a sink that is shaped like a half-sphere. The sink has a volume of 2500/3 π" i" "n" ^3. One day, his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when Zion begins scooping. A. One cup has a diameter of 5 in. and a height of 8 in. How many cups of water must Zion scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number (round up).

B. One cup has a diameter of 7 in. and a height of 7 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number (round up).

2. Cairo also has a sink that is shaped like a half-sphere. The sink has a volume of 2500/3 π" i" "n" ^3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Cairo begins scooping.

A. One cup has a diameter of 5 in. and a height of 8 in. How many cups of water must Cairo scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number (round up).

B. One cup has a diameter of 7 in. and a height of 7 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number (round up).

3. A extra-large helium balloon is needed for a child’s birthday party. It is constructed as a cone topped with a half-sphere. What amount of helium is needed to fill the balloon (Hint: this would be area)? Round your answer to the nearest cubic inch. Use 3.14 to approximate pi. (Do not leave pi as part of your answer).