Answer:
The total flow in gallons is approximately 16.524 gallons
Step-by-step explanation:
The given diameter of the tank, D = 18 inches
The amount by which the water depth rose, Δh = 15 inches
The quantity being measured = The total flow = The change in volume of water in the tank
The change in the volume of the water in the tank, ΔV = (π × D²/4) × Δh
Substituting the known values, gives;
ΔV = (π × D²/4) × Δh = (π × (18 in.)²/4) × (15 in.) ≈ 3817.035 in.³
1 gallon = 231 in.³
ΔV ≈ 3817.035 in.³ = 3817.035 in.³ × 1 gallon/(231 in.³) ≈ 16.524 gallons
The change in the volume of the water in the tank, ΔV in gallons = The total flow in gallons ≈ 16.524 gallons.