Calculus

Water is flowing into a vertical cylindrical tank at the rate of 24 cu. ft. per minute. If the radius of the tank is 4 feet, how fast is the surface rising?

Thank You! :)

  1. 👍
  2. 👎
  3. 👁
  1. volume=PI*r^2*h
    dV/dt=pi(2hr dr/dt+r^2 dh/dt)
    wouldn't dr/dt=0?

    1. 👍
    2. 👎
    👤
    bobpursley
  2. Solution pls

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    A tank of water has a base a circle of radius 2 meters and vertical sides. If water leaves the tank at a rate of 6 liters per minute, how fast is the water level falling in centimeters per hour? [1 liter is 1000 cubic centimeters]

  2. Math

    The base of a pyramid-shaped tank is a square with sides of length 12 feet, and the vertex of the pyramid is 10 feet above the base. The tank is filled to a depth of 4 feet, and water is flowing into the tank at the rate of 2

  3. thermodynamics

    2. If a pump discharges 284 liters per minute of water whose density is 985 kg/m3 . Find (a) mass flow rate in kg/min; (b) the total time required to fill a vertical cylindrical tank 3.05 m in diameter, and 305 m high. Note: m = Q

  4. Calculus

    A tank of water in the shape of a cone is being filled with water at a rate of 12 m^3/sec. The base radius of the tank is 26 meters and the height of the tank is 8 meters At what rate is the depth of the water in the tank changing

  1. cal

    A conical tank (with vertex down) is 12 feet across the top and 18 feet deep. If water is flowing into the tank at a rate of 18 cubic feet per minute, find the rate of change of the depth of the water when the water is 10 feet

  2. maths

    A water tank has the shape of a rectangular prism of base 50 cm2. This tank is being filled at the rate of 12 liters per minutes. Find the rate at which the height of the water in the water tank increases; express your answer in

  3. MATHS

    A cylindrical water tank of diameter 1.4m and height 2.1m is being feed by a pipe of diameter 3.5cm through which water follows at the rate of 2m/per second . In how much time the tank will be filled ???

  4. Math

    "A tank holds 1000L of water, which takes an hour to drain from the bottom of the tank, then the volume V of water remaining in the tank after t minutes is: V = 1000(1-(t/60))^2 where t is between 0 and 60 inclusive. Find the rate

  1. math

    Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0

  2. Math

    A rectangular water tank measures 2.4m long, 2m wide and 1.5m high. The tank contained some water up to a height of 0.45m (a) calculate the amount of water, in litres, needed to fill up the tank. vol = 2.4*2* 1.5- 2.4*2*0.45 =7.2

  3. Calculus

    An upright cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing?

  4. Calculus

    Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in diameter and 6 m high. How fast is the water level rising?

You can view more similar questions or ask a new question.