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Math Help - Related Rates Questions

  1. #1
    Junior Member Khaali91's Avatar
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    Related Rates Questions


    Water is leaking out of an inverted conical tank at a rate of 6000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.

    * I am confused as to whether i should derivate with respect to the radius or height of the volume, or implicitly.


    Two sides of a triangle have lengths 4 m and 12 m. The angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 60.

    * I tried assuming i could use one of the trigonometric functions but I could not figure out where to go afterwards.
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  2. #2
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    Quote Originally Posted by Khaali91 View Post
    Water is leaking out of an inverted conical tank at a rate of 6000 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
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