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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 15 feet and a height of 20 feet. Container B has a radius of 19 feet and a height of 19 feet. Container A is full of water and the water is pumped into Container B until Container A is empty.


To the nearest tenth, what is the percent of Container B that is full after the pumping is complete?

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Sagot :

sqdancefan

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Answer:

  65.6%

Step-by-step explanation:

The question is essentially asking the ratio of the volumes.

  Va = πr²h = π(15²)(20)

  Vb = πr²h = π(19²)(19)

The ratio of volumes is ...

  Va/Vb = π(15²)(20)/(π(19³)) = (15²)(20)/19³ ≈ 0.65607

Container B will be about 65.6% full when container A is empty.

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