The change will make the volume of the pool double.
The pool is circular. Therefore, it is a cylindrical.
Hence,
volume of a cylinder = πr²h
where
Therefore,
diameter = 12
radius = 12 / 2 = 6 ft
height = 4 ft
volume = π × 6² × 4 = 144π
When you want to increase the depth
volume = π × 6² × 8
volume = π × 36 × 8
volume = π × 36 × 8
volume = 288π
Therefore, the change will make the volume of the pool double.
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