during a test of a totalizing flow meter, the water depth rose 15 inches in a tank 18 inches in diameter. What was the total flo

Question

3 years ago

10

w in gallons

1 answer:

sattari [20] · Answer 1 · 2022-10-17T10:33:54+03:00

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.