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

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

Answer 1

1885.5 m^3 of water

Explanation:

I'll assume this is the complete 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

The pool forms a cylinder with a radius of 12 feet and a height of 4.5 feet.

height of pool = 4.5 ft

radius of pool
`12^(2)` = 12 ft

height of water is 4 inches below 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

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

volume of cylinder formed by the water = volume of water = π
`r^(2)`h

volume = 3.14 x
`12^(2)` x 4.17 = 1885.5 m^3 of water