Answer:
The volume of water in the pool is 6908 cubic feet.
Step-by-step explanation:
Given : Swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.
To find : The volume of water in the pool?
Solution :
Swimming pool is circular with a 40-ft diameter.
The radius of the pool is [tex]\frac{40}{20}=20\ ft[/tex]
The depth is constant along east-west lines and increases linearly from 3 ft at the south end to 8 ft at the north end.
Depth average is [tex]D_a=\frac{3+8}{2}=5.5[/tex]
The volume is given by,
[tex]V=\pi\times r^2\times D_a[/tex]
[tex]V=3.14\times(20)^2\times 5.5[/tex]
[tex]V=6908\ ft^3[/tex]
The volume of water in the pool is 6908 cubic feet.
