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stepan [7]
3 years ago
10

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?

pleaseee help meee
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

9514 1404 393

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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Vertex form is most helpful for all of these tasks. 
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>

<span>a) Factor: </span>
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<span>b) Graph: </span>
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<span>c) Vertex and Extreme: </span>
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