A Large Cylindrical Water Tank Is Mounted on a Platform

question 25

Short Answer

A large cylindrical water tank is mounted on a platform with its central axis vertical.The water level is 3.75 m above the base of the tank,and base is 6.50 m above the ground.A small hole 2.22 mm in diameter has formed in the base of the tank.Both the hole and the top of the tank are open to the air.We can ignore air resistance and treat water as an ideal fluid with a density of 1000 kg/m³.
(a)How many cubic meters of water per second is this tank losing?
(b)How fast is the water from the hole moving just as it reaches the ground?

Understand and apply the concept of interest rates and their impact on financial formulas.

Perform algebraic operations including simplification, factorization, and expansion.

Solve linear equations and systems of linear equations accurately.

Apply mathematical operations to polynomial expressions.

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Definitions:

Handedness

The preference for using one hand over the other, typically manifested as being right-handed or left-handed, for tasks and activities.

Genetic Component

The contribution of genes to the development of traits, behaviors, or conditions, reflecting the hereditary aspect of biological inheritance.

Ultrasound

Sound waves too high in pitch to be sensed by the human ear.

Fetuses

Refers to the later stages of development in the womb, from the end of the embryonic stage to birth.