Water is leaking out of an inverted conical tank at a rate of 6000.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 10.0 m and the the diameter at the top is 6.0 m. If the water level is rising at a rate of 18.0 cm/min when the height of the water is 2.0 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

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Q: Water is leaking out of an inverted conical tank at a rate of 6000.0 cm/min at the same time that…

A: Please see the below picture for detailed solution.

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A: This question is related to application of derivatives.

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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.