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WILL MARK BRAINLIST ! Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 20003π in3. One day the sink clogged, so she had to use a cup to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.


The cup is a cone with a diameter of 4 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round to the nearest whole number.

BE SURE TO SHOW YOUR WORK or THINKING for full credit

Respuesta :

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Answer:

63 cups of water.

Step-by-step explanation:

The volume of a cone is V = 1/3πr²h. The diameter of the cup is 4, the radius of the cup is 2, so the volume is:

1/3π×8×2²

8/3π×4 = 32π/3.

Divide the volume of the sink by the volume of the cup:

2000π/3 ÷ 32π/3 = 6000π/96π = 62.5.

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