706.5 cubic feet of water should be put in the pool.
Step-by-step explanation:
Given,
The circumference of swimming pool = 157 feet.
The depth of the pool = 6 feet.
For safety purpose [tex]\frac{3}{4}[/tex] th of its height water is there.
To find the amount of the water should be there.
Formula
The volume of the pool = circumference×height
Now,
The height(h) of the water is = 6× [tex]\frac{3}{4}[/tex] ft = [tex]\frac{9}{2}[/tex] ft
So, the volume of the pool = 157× [tex]\frac{9}{2}[/tex] cubic feet
= [tex]\frac{1413}{2}[/tex] cubic feet = 706.5 cubic feet.
Hence,
706.5 cubic feet of water should be put in the pool.
