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kolbaska11 [484]
3 years ago
15

Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the p

ool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14
A cylinder with a radius of 12 feet and a height of 4.5 feet.
Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

<em>1885.5 m^3 of water</em>

<em></em>

Step-by-step explanation:

I'll assume this is the complete question

<em>Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14 </em>

<u><em>The pool forms</em></u><em> a cylinder with a radius of 12 feet and a height of 4.5 feet.</em>

<em></em>

height of pool = 4.5 ft

radius of pool12^{2} = 12 ft

height of water is 4 inches below pool top

<em>12 inches make 1 ft</em>

4 inches = 4/12 ft = 0.33 ft

Therefore, height of water = 4.5 - 0.33 = 4.17 ft

<em>volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed</em>

volume of cylinder formed by the water = volume of water = πr^{2}h

volume = 3.14  x 12^{2} x 4.17 = <em>1885.5 m^3 of water</em>

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