The volume of water in the pool is 6,908 cubic feet.
Given in the Question:
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.
We have to find the radius of pool using it's diameter:
R = 40/2
R = 20 ft
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(Da) = 3+8 / 2 = 5.5
Now, we will find the volume:
volume = Л × r² × Da
volume = 3.14 × (20)² × 5.5
volume = 6908 ft³
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