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Math Help - Finding maximum percentage error

  1. #1
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    Finding maximum percentage error

    One formula for the volume of a cone is V = (k^2 * h^3)/3, where k depends on the cones steepness. Find the maximum percentage error in calculating V from this formula, if the maximum percentage error for h is 5%.

    I've got no idea how to start this one so all help is appreciated!
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  2. #2
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    Quote Originally Posted by Alice96 View Post
    One formula for the volume of a cone is V = (k^2 * h^3)/3, where k depends on the cones steepness. Find the maximum percentage error in calculating V from this formula, if the maximum percentage error for h is 5%.

    I've got no idea how to start this one so all help is appreciated!
    I think you want to use the total differential method:

    \Delta V=V_k \Delta k +V_h \Delta h , where V_k is the partial derivative of V with respect to k, and delta k is the error associated with k. I can't quite see how to get to the percentage error though...
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