Question

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

Answer 1

1885.5 m^3 of water will fill the container.

To find how many cubic feet of water will it contain:

Given -

• Lauren has an above-ground swimming pool.
• The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly. 
• π = 3.14

The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.

• Height of pool = 4.5 ft
• Radius of pool = 12 ft
• The height of the water is 4 inches below the pool top
• 12 inches make 1 ft
• 4 inches = 4/12 ft = 0.33 ft
• Therefore, height of water = 4.5 - 0.33 = 4.17 ft

The volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.

• The volume of the cylinder formed by the water = volume of water = $\pi r^{2} h$
• volume = 3.14 x $12^{2}$ x 4.17 = 1885.5 m^3 of water

Therefore, 1885.5 m^3 of water will fill the container.

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The complete question is given below:

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

A cylinder with a radius of 12 feet and a height of 4.5 feet.