Water is being poured at the rate of 27 m' /min into an inverted conical tank that is 12-meter deep with a radius of 6 meters at the top. If the water level is rising at the rate of m/min and there is a leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![Water is being poured at the rate of 27 m' /min into an inverted conical tank that is 12-meter deep
with a radius of 6 meters at the top. If the water level is rising at the rate of m/min and there is a
leak at the bottom of the tank, how fast is the water leaking when the water is 6-meter deep?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6fc8f30-c164-4185-a881-f273a4696ede%2F1343f83a-aac5-41ca-96cb-a91b90a9d1e1%2F9jnl3jq_processed.jpeg&w=3840&q=75)
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