Water is leaking out of an inverted conical tank at a rate of 6900 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 3 meters. If the water level is rising at a rate of 23 centimeters per minute when the height of the water is 3 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Round to the nearest whole number.

Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: Water is leaking out of an inverted conical tank at a rate of 6700 cubic centimeters per min at the…

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Q: The standard u.s A evaporation land on inside diameter of 47.5 inches and depth of 10.0 inch, if…

A: given that inside diameter is 47.5 inches radius,   R=47.52=23.75 inches  depth is H=10.0 inches…

Q: Water is leaking out of an inverted conical tank at a rate of 9500 cubic centimeters per min at the…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.