Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and the altitude is 80 mm, find the rate at which the water is dropping when it is 20 mm from the top.

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Q: waterlevel rising when the water is 6 feet deep?

A: Given that: Water runs into a canonical tank at the rate of 9 cubic feet per minute. dvdt  = 9 ft3 /…

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A: topic - application of derivatives

Q: A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m. a. If the…

A: The work done is 66.13 × 103 J

Q: The radius of a sphere increases at a rate f 1 m/sec. Find the rate at which the olume increases…

A: We are given that the radius of a sphere increases at a rate of 1 m/s. So, drdt=1 m/s. We know that…

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

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Q: Water is being pumped into an inverted conical tank at a rate of 9.6 cubic meters per min. The tank…

A: Given: Water is being pumped into an inverted conical tank at a rate of 9.6 cubic meters per min.…

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A: Here in this question, only first three subparts are to be answered. So, the 3 parts in (a) will be…

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

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

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

A: This question is based on application of derivative.

Q: 2. A conical reservoir is dripping water at a rate of 21 cubic feet per second (water is going out…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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

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Q: A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet…

A: Given that: Base radius of water tank = 6 feet Depth of the water tank = 8 feet When the depth is 5…

Q: Water is leaking out of an inverted conical tank at a rate of 11900.0 cm3/min at the same time that…

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Q: The radius of a sphere increases at the rate of 4 m/sec. Find the rate at which the volume of a…

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Q: The radius of a sphere decreases at a rate of 3 meters per second. Find the rate at which the…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

A: Given that inverted pyramid rate 60 cm^3 per second Length (l) = 3 cm Height (h) = 9 cm So,…

Q: The radius of a sphere increases at the rate of 4 m/sec. Find the rate at which the volume of a…

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Q: A conical paper cup is 10cm tall with a radius of 30cm. The cup is being filled with water so that…

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Q: s running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40…

A: Here we have,  Water is running out of a conical funnel at the rate of 1000 cu mm/sec r=40 mm and…

Q: The radius of a sphere increases at the rate of 4 m / sec. Find the rate at which the volume of a…

A: Rate of increase of volume using derivative

Q: The radius of a sphere decreases at the rate of 4 m/sec. Find the rate at which the volume decreases…

A: Given  Radius = 4 m  Rate of decrease of radius = 5 m/sec

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

A: Given:dvdt=65 cm3secBase of pyramid=6cmHeight of pyramid=9 cmwe have to find the rate at which the…

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Q: The radius of a sphere increases at the rate of 7 m/sec. Find the rate at which the volume of a…

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

A: Topic = Application of Derivative

Q: The radius of a sphere increases at the rate of 7 m/sec. Find the rate at which the volume of a…

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

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Q: The radius of a sphere increases at the rate of 7 m/sec. Find the rate at which the volume of a…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 16 cm/min.…

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Q: A cylindrical container has initially 400cm^3 of water and is being filled at the constant rate of…

A: The cylindrical container has 400cm3 of water. The rate of being filled per second is 100 cm3. And…

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: Water is leaking out of an inverted conical tank at a rate of 12600.0 cm³/min at the same time that…

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Q: Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel…

A: We need to find rate of water dropping.

Q: The radius of a sphere increases at the rate of 5 m/sec. Find the rate at which the volume of a…

A: Write the formula for volume of sphere and take derivative with respect to time t than put the given…

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A: Given- An inverted pyramid is being filled with a constant rate of 40 cm3sec, the pyramid at the top…

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.