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Math Help - Need help to calculate for height for a cylinder.

  1. #1
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    Need help to calculate for height for a cylinder.

    Need help with home work.
    What length of 71 cm in diameter(inside) pipe is required to make a water storage tank with a capacity of 94 litres?
    What is the length in cm???
    I am having trouble with this one.
    Need help please, thanks.
    Joanne
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  2. #2
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    Quote Originally Posted by bradycat View Post
    Need help with home work.
    What length of 71 cm in diameter(inside) pipe is required to make a water storage tank with a capacity of 94 litres?
    What is the length in cm???
    I am having trouble with this one.
    Need help please, thanks.
    Joanne
    The capacity is 94\,\textrm{L} = 94\,000\,\textrm{mL}.

    So the volume is 94\,000\,\textrm{cm}^3.


    You should know that the volume of a cylinder is given by the formula:

    V = \pi r^2 h.

    Since the diameter is 71\,\textrm{cm} the radius is 35.5\,\textrm{cm}.


    So 94\,000\,\textrm{cm}^3 = \pi \left(35.5\,\textrm{cm}\right)^2 h.


    Solve for h.
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  3. #3
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    Quote Originally Posted by Prove It View Post
    The capacity is 94\,\textrm{L} = 94\,000\,\textrm{mL}.

    So the volume is 94\,000\,\textrm{cm}^3.


    You should know that the volume of a cylinder is given by the formula:

    V = \pi r^2 h.

    Since the diameter is 71\,\textrm{cm} the radius is 35.5\,\textrm{cm}.


    So 94\,000\,\textrm{cm}^3 = \pi \left(35.5\,\textrm{cm}\right)^2 h.


    Solve for h.
    THANK YOU for your help on this. I understand. I forgot you had to convert and only got half way and did not know what to do, but I do now. Appreciate it,
    J
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