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An ice box has dimensions 12x24x16 inches. It is full of shaved ice for snow cones. Each paper cone cup has a radius of 1.5 inches and a height of 5 inches. Assuming the ice does not melt and that each cup is filled completely, about how many cups can be filled?

 Apr 9, 2018
 #1
avatar+429 
+1

hold on im calculating

 Apr 9, 2018
 #2
avatar+429 
0

i believe it is 371

 Apr 9, 2018
 #3
avatar+2448 
-1

Do you mind explaining how you got that answer?

RainbowPanda  Apr 9, 2018
 #4
avatar+429 
0

np so i took πr2h and then i did 12*24*16 and that gave me 4608 then divided by 35.34 and got 130.390 so your answer would be 130 then

jakesplace  Apr 9, 2018
 #5
avatar+2448 
-1

Is that actually how you solve it....seems too easy lol

RainbowPanda  Apr 9, 2018
 #6
avatar+129852 
+2

The  volume of the ice box  is   12 * 24 * 16  =  4608  in^3   (1)

The  volume  of each cone  is    [ pi (1.5)^2 * 5  / 3 ]     in^3    (2)

 

So.....the number of cups that can be filled is  (1)  / (2)  =

 

      4608 

    _______                      =   about 391  cups

[  pi (1.5)^2 * 5  / 3 ] 

 

 

cool cool cool

 Apr 9, 2018
 #7
avatar+2448 
0

Thanks so much! This'll be very helpful later on~ (I had already submitted my answer >.<)

RainbowPanda  Apr 9, 2018
 #8
avatar+429 
0

sorry bout that Rp

jakesplace  Apr 9, 2018

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