SOLUTION: A standard juice box holds 8 fluid ounces. A fluid ounce of liquid occupies 1.8 to the 3rd. Design a cylindrical can that will hold about the same volume as one juice box. What are

Algebra ->  Volume -> SOLUTION: A standard juice box holds 8 fluid ounces. A fluid ounce of liquid occupies 1.8 to the 3rd. Design a cylindrical can that will hold about the same volume as one juice box. What are      Log On


   

Question 317324: A standard juice box holds 8 fluid ounces. A fluid ounce of liquid occupies 1.8 to the 3rd. Design a cylindrical can that will hold about the same volume as one juice box. What are the possible demensions?
I've tried
v=p*r2*h
v=3.14*?*1.8 to the 3rd
r=v/(2*p*h)
r=8/(2*3.14*1.8 to the 3rd)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
V=pi%2Ar%5E2%2Ah=1.8
r%5E2%2Ah=0.573
Using thi equation, choose r and solve for h or choose h and solve for r.
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As an example,
Let h=1,
r%5E2%2A1=0.573
r=0.76
So when the can has a height of 1 inch, the radius of the can should be 0.76 to hold 1.8 cubic inches.
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Let r=1,
1%5E2%2Ah=0.573
h=0.573
So when the can has a radius of 1 inch, the height of the can should be 0.573 to hold 1.8 cubic inches.