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    seeta_m_patel's Avatar
    seeta_m_patel Posts: 1, Reputation: 1
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    #1

    Oct 24, 2006, 02:56 AM
    Rearranging a formula
    Hello,

    Does anyone know how to rearrange the formula:

    A= 2*pi*r*h + pi*r^2

    Make r the subject, I have an answer, but it doesn't match others answers?

    Many thanks
    s_cianci's Avatar
    s_cianci Posts: 5,472, Reputation: 760
    Uber Member
    		  
    #2

    Oct 28, 2006, 01:15 PM
    Complete the square on pi*r^2 + 2*pi*r*h:

    pi(r^2 + 2rh)
    pi(r^2 + 2rh + h^2) - pi*h^2

    A - pi*h^2
    ----------- = r^2 + 2rh + h^2
    pi

    A - pi*h^2
    ----------- = (r + h)^2
    pi

    A- pi*h^2
    sqrt.---------- = r + h
    pi

    A - pi*h^2
    sqrt. (------------) - h = r
    pi
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