A vertical cylindrical tank 10 ft in diameter, has an inflow line of 0.3 ft inside diameter and an outflow line of 0.4 ft inside diameter. Water is flowing in the inflow line at a velocity of 5 ft/s and in the outflow line at a velocity of 2 ft/s. Is the level in the tank rising or decreasing? With what speed (ft/sec)?

, level is rising.

Explanation:

Since liquid water is a incompresible fluid, density can be eliminated of the equation of Mass Conservation, which is simplified as follows:

By replacing all known variables:

The positive sign of the rate of change of the tank level indicates a rising behaviour.

c.is a substance that requires a small amount of energy per gram to raise its temperature; has strong cohesive forces between molecules.

explanation:

a colorless, transparent, odorless liquid that forms the seas, lakes, rivers, and rain and is the basis of the fluids of living organisms.

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