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Math Help - So a cylindrical tank with a radius of 4ft fills with water at the rate of 20ft^3 sex

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    So a cylindrical tank with a radius of 4ft fills with water at the rate of 20ft^3 sex

    *seconds
    Explain the volume of the tank as a function of the height. Express the depth of the water in the tank as a function of the time in t seconds.

    I'm stuck on this problem in my homework, can you help me and explain it?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Idontknow View Post
    *seconds
    Explain the volume of the tank as a function of the height.
    really not much to do here. we just want to manipulate the equations you already know.

    For a cylinder,

    V = \pi r^2 h

    \Rightarrow \boxed{h = \frac V{\pi r^2}}


    Express the depth of the water in the tank as a function of the time in t seconds.
    we know that V = 20t

    (the volume of water increases by 20 ft^3 every second)

    thus, h = \frac {20t}{\pi r^2}

    \Rightarrow \boxed{h = \frac {5t}{4 \pi}} ........since r = 4
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