Water is leaking out of an inverted conical tank at a rate of 8000.000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.000 meters and the diameter at the top is 3.000 meters. If the water level is rising at a rate of 15.000 centimeters per minute when the height of the water is 2.000 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

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A: Given, Water is leaking at a rate of  12000 cm3/min Height of the tank is 9 m which is same as  900…

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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: Sol

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Q: An inverted pyramid is being filled with water at a constant rate of 65 cubic centimeters per…

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Q: Water is leaking out of an inverted conical tank at a rate of 11600.0 cm3/min at the same time that…

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A: In this we have to follow some basic concepts so for better understanding I'm providing hand written…

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A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

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A:

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A:

Q: 12. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 20…

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Q: Water is leaking out of an inverted conical tank at a rate of 13000 cubic centimeters per min at the…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 0.0137 m3/min. At the same time water…

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Q: A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m,…

A: Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

Q: A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m,…

A: Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

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A:

Q: Water is leaking out of an inverted conical tank at a rate of 7900 cubic centimeters per min at the…

A: We have to find the water is being pumped

Q: Water is leaking out of an inverted conical tank at a rate of 6000.0 cm3/min at the same time that…

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A: This question is related to application of derivatives.

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A:

Q: Water is leaking out of an inverted conical tank at a rate of 11700.0cm^3/min  at the same time that…

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Q: 7. Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 6900 cubic centimeters per min at the…

A: Given,  water inflow = 6900 cm3/min. Height of the tank = 8 meters = 800 cm.  The radius of the top…

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A:

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A:

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A:

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A:

Q: Water is leaking out of an inverted conical tank at a rate of 13000.0 cm^3/min at the same time that…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per…

A:

Q: An inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per…

A:

Q: *7. Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter…

A:

Q: 19. Water is leaking out of an inverted conical tank at a rate of 10,000 cm³/min at the same time…

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 14000 cubic centimeters per min at the…

A: Given that, the leakage rate is 14000 cubic centimeter, the height of the tank is 12 meters and…

Q: 3. A water tank has the shape of an inverted circular cone with base radius 4 m and height 8 m. If…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 14300.0 cm3/min at the same time that…

A: Diameterd of the cone is 6.5 m. Radiusr=d2=6.52=3.25 m Heighth of the cone is 6 m. rh=3.256r=1324h

Q: Water is leaking out of an inverted conical tank at a rate of 6900.0 cm/min at the same time that…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 7500.0 cubic centimeters per min at…

A: Here 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 12600.0 cm³/min at the same time that…

A:

Q: 3) Water is being poured at the rate of 2TT m3/min. into an inverted conical tank that is 12-meter…

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Q: 3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter…

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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.