Question 947689
{{{ A=pr^2+pr*sqrt( r^2 +h^2 ) }}}

Solve for {{{h}}}. 

{{{ A-pr^2=pr^2-pr^2+pr*sqrt( r^2 +h^2 ) }}}


{{{ A-pr^2=pr*sqrt( r^2 +h^2 ) }}}


{{{ A/pr-cross(p)r^cross(2)/cross(p)cross(r)=pr/pr*sqrt( r^2 +h^2 ) }}}


{{{ A/pr-r=sqrt( r^2 +h^2 ) }}}


{{{ (A/pr-r)^2=(sqrt( r^2 +h^2 ))^2 }}}


{{{ (A/pr-r)^2= r^2 +h^2  }}}


{{{ (A/pr-r)^2-r^2 =h^2  }}}


{{{ A^2/p^2r^2-2Ar/pr+r^2-r^2 =h^2  }}}


{{{ A^2/p^2r^2-2Ar/pr =h^2  }}}


{{{ (A(A-2pr^2))/(p^2*r^2) =h^2  }}}


{{{ h= sqrt((A(A-2pr^2))/(p^2*r^2))   }}}


{{{ h= sqrt(A(A-2pr^2))/sqrt((p^2*r^2))   }}}


{{{ h= sqrt(A(A-2pr^2))/pr   }}}