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Math Help - Need help with related rates

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    Need help with related rates

    A water tank has the shape of an inverted cone with top radius 4 m and depth 10m. Waer is pored in to the tank at the rate of 5 m^3min^-1. How fast is the water rising when the depth of the water is 5 m?
    i am not sure how to start
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    Quote Originally Posted by supersaiyan View Post
    A water tank has the shape of an inverted cone with top radius 4 m and depth 10m. Waer is pored in to the tank at the rate of 5 m^3min^-1. How fast is the water rising when the depth of the water is 5 m?
    i am not sure how to start
    V = \frac{\pi}{3} r^2 h

    get the volume of water in the tank in terms of h ...

    note that \frac{r}{h} = \frac{4}{10}

    once you do that, take the derivative w/r to time and calculate \frac{dh}{dt}
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