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Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3π in^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 Anthony begins scooping.



One cup has a diameter of 8 in. and a height of 8 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.

 Mar 1, 2019

(2000 *pi /3 ) /( pi (4^2)8)=~~ 5 scoops

 Mar 1, 2019

1 scoop. 2000/3pi = 212.2065. The volume of the cup is 128pi. so 212.2065/128pi = 0.5277.


So rounding to the nearest whole number is 1. Something to remember, the sink is the same volume as it was in the last problem, but the cup is much bigger this time. The answer last time was 2, so it's gonna be smaller this time.

 Mar 1, 2019

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