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

 

 One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

 Mar 1, 2019
 #1
avatar+18346 
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Check in with Anthony ...just a few posts below this one !

 Mar 1, 2019
 #3
avatar+233 
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Yeah, that's what I thought too but these cups are cones, not cylinders. So slightly different formula.

LagTho  Mar 1, 2019
 #2
avatar+233 
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The volume of the sink is 212.2065 in3 . The volume of each cup is 33.51032. Sink/cup = 6.33257 scoops. Rounding to the nearest whole number is 6 scoops from the cup.

 Mar 1, 2019
 #4
avatar+100549 
+2

Vcone  = (1/3) pi (2^2) (8)  =  32pi/3

 

Cups  =   [ 2000pi / 3  ]   /  [ 32 pi/ 3 ]  =   2000 / 32   =  62.5 =  63 cups

 

 

cool cool cool

 Mar 1, 2019

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