1. John has a sink that is shaped like a half-sphere. The sink has a volume of 1072 in3. 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 Anthony begins scooping. (a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Anthony scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. ***Find the volume of the cup. Divide the volume of the sink by the volume of the cup***

83 cups

Step-by-step explanation:

The volume of the sink is 1072 in³.

One day, his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The formula for determining the volume of a cylinder us expressed as

Volume = πr²h

Diameter of the cylindrical cup = 2inches

Radius = diameter/2

Radius of the cylindrical cup = 2/2 = 1 inch

Height of the cylindrical cup = 4 inches

Volume of the cylindrical cup

= 3.14 × 1² × 4 = 12.56 inches³

The number of cups of water that Anthony must scoop out of the sink with this cup to empty it is

1072/12.56 = 83 cups to the nearest whole number

32

step-by-step explanation:

there are infinitely many solutions.