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Container A has radius ​r​ and height h . It holds a maximum of 44 ounces of water. Container B has radius 2.5r and height 4h . What is the maximum amount of water that container B can hold?

User Natassia
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2 Answers

6 votes
pi r^2 h = 44
pi (2.5r)^2 * (4h) = Volume of water = V
V = (2.5)^2 *4 * pir^2h = (2.5)^2 *4 * 44 = 1100
User Stem Florin
by
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1 vote
Set an equation:


\pi r^(2) h=44
divide both sides by 3.14

r^(2) h=14


\pi (2.5r)^(2) 4h=x
divide both sides by 6.25, 4, and 3.14

r^(2) h=x/78.5

Since these two equations are equal, we can set them up that way.

x/78.5=14
multiply both sides by 78.5
x=1099

Answer: The maximum amount of water that container B can hold is 1,099 ounces.

User Ardritkrasniqi
by
8.5k points

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