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Math Help - word problem calculus

  1. #1
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    word problem calculus

    An upright cylindrical tank with radius 7 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increasing? (Round the answer to four decimal places.)

    A = pi * r^2 = 49 pi

    (4 m^3 / min) / 49 pi m^2
    = .2565 m / min


    Can you plz help me with this and correct me because it may not be correct answer.

    Thanks
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  2. #2
    MHF Contributor
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    You have the right answer but the setup looks very wrong to me.

    You should start with V=\pi r^2 h . r is constant so V=49 \pi h. Now take the derivative in terms of t. This leads to the same answer you got, but I don't know if you get the reason why it's this answer. Do you?
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  3. #3
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    actually this is from online HW and the computer doesnt accept my answer.
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