Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide -
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First we need to find the heigh of the soda can be rearanging the volume formula, 
. We can make that 
We know that V is 36 and radius is half of the diameter, so radius is 2. 
h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
h = 2.87
Now, we can use the height to figure out the volume of a cone. The volume of a cone is
R is 2 again and h is 2.87
12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can