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Math Help - Cylindrical tank- not sure if pre-calc or algebra

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    Cylindrical tank- not sure if pre-calc or algebra

    A Cylindrical tank 4 ft in diameter fills with water at the rate of 10 ft/s. Express the depth of the water in the tank as a function of the time t in seconds.Assume the tank is empty at time t=0.
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    Re: Cylindrical tank- not sure if pre-calc or algebra

    Quote Originally Posted by mikewezyk View Post
    A Cylindrical tank 4 ft in diameter fills with water at the rate of 10 ft/s. Express the depth of the water in the tank as a function of the time t in seconds.Assume the tank is empty at time t=0.
    The volume of a cylindar is

    V=\pi r^2h \iff h=\frac{V}{\pi r^2}

    The amount of water in the tank is

    V=10t

    Combining these gives

    h=\frac{10t}{4\pi }=\frac{5t}{2\pi}
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